Pith Number

pith:ZMVTP5LX

pith:2005:ZMVTP5LX33XBDNHPYA6E6JRMKH

not attested not anchored not stored refs pending

Brackets, forms and invariant functionals

Nigel Hitchin

arxiv:math/0508618 v1 · 2005-08-30 · math.DG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMVTP5LX33XBDNHPYA6E6JRMKH}

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

2 papers in Pith

On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials

Receipt and verification

First computed	2026-07-04T14:40:20.844762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2b37f577deee11b4efc03c4f262c51cdafe3fac2afae4e491c2680227181ac

Aliases

arxiv: math/0508618 · arxiv_version: math/0508618v1 · doi: 10.48550/arxiv.math/0508618 · pith_short_12: ZMVTP5LX33XB · pith_short_16: ZMVTP5LX33XBDNHP · pith_short_8: ZMVTP5LX

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/ZMVTP5LX33XBDNHPYA6E6JRMKH \
  | 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: cb2b37f577deee11b4efc03c4f262c51cdafe3fac2afae4e491c2680227181ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f72dc6bea95db3b00a6aae34d8198b844a880e80f35f6df4476d6b93ed01d0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-08-30T15:37:00Z",
    "title_canon_sha256": "c65828a0a9ed2302d1febab656c728f87ac748fbab730bd0fd5734d540689521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508618",
    "kind": "arxiv",
    "version": 1
  }
}