Pith Number

pith:ATG4PMEJ

pith:2005:ATG4PMEJ7UYLUW3TMB34JR5UMS

not attested not anchored not stored refs pending

Invariant Variation Problems

Emmy Noether, M. A. Tavel

arxiv:physics/0503066 v3 · 2005-03-08 · physics.hist-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATG4PMEJ7UYLUW3TMB34JR5UMS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

3 papers in Pith

Renormalisation

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Teleparallel gravity from the principal bundle viewpoint

Receipt and verification

First computed	2026-05-18T00:14:29.855403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cdc7b089fd30ba5b736077c4c7b46487b559f3a3d9955ecae41a7705b54419

Aliases

arxiv: physics/0503066 · arxiv_version: physics/0503066v3 · doi: 10.48550/arxiv.physics/0503066 · pith_short_12: ATG4PMEJ7UYL · pith_short_16: ATG4PMEJ7UYLUW3T · pith_short_8: ATG4PMEJ

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/ATG4PMEJ7UYLUW3TMB34JR5UMS \
  | 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: 04cdc7b089fd30ba5b736077c4c7b46487b559f3a3d9955ecae41a7705b54419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87c2046da7fa95195778fcde492bf0f6f04e4f6d61de99357293e8133657df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2005-03-08T22:21:40Z",
    "title_canon_sha256": "90ce14e09f9a3ff6cb0921a95f6a6fef7c5c28ef375afcfca9e647c270f7c80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0503066",
    "kind": "arxiv",
    "version": 3
  }
}