Pith Number

pith:Q6VLF4E3

pith:2008:Q6VLF4E35EFI3QKDA3ICS2HW7P

not attested not anchored not stored refs pending

Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism

I.V. Tyutin

arxiv:0812.0580 v2 · 2008-12-02 · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6VLF4E35EFI3QKDA3ICS2HW7P}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

18 papers in Pith

Abelian 2-Form Gauge Theory: Basic Canonical Brackets and Nilpotency Property of the Noether (Anti-)BRST Charges

General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds

A Linearized Obstruction to the Supersymmetric Extension of Conformal Boundary Conditions in Euclidean Gravity

BRST-BV approach to fields in Poincare patch of AdS

Polarization interference in exclusive $V+$jets at all orders in $\alpha_s$

Receipt and verification

First computed	2026-07-04T15:33:42.461308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87aab2f09be90a8dc14306d02968f6fbe215b6f44a2333912a3fbff11e33d1b5

Aliases

arxiv: 0812.0580 · arxiv_version: 0812.0580v2 · doi: 10.48550/arxiv.0812.0580 · pith_short_12: Q6VLF4E35EFI · pith_short_16: Q6VLF4E35EFI3QKD · pith_short_8: Q6VLF4E3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q6VLF4E35EFI3QKDA3ICS2HW7P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 87aab2f09be90a8dc14306d02968f6fbe215b6f44a2333912a3fbff11e33d1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e115d9823619826aabd5980adbb8740b51d8a27f837883ade74b78e3609a9e5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-02T20:15:57Z",
    "title_canon_sha256": "d0a64a5f9169a77317cc48b9fa84b02627bb889f32ca4462a8ad12f9e0933b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0580",
    "kind": "arxiv",
    "version": 2
  }
}