Pith Number

pith:4MVUL4KI

pith:2021:4MVUL4KIFS35QV3VWSAHQKYVXZ

not attested not anchored not stored refs pending

Covariant canonical formulations of classical field theories

Francois Gieres

arxiv:2109.07330 v4 · 2021-09-15 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MVUL4KIFS35QV3VWSAHQKYVXZ}

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

1 paper in Pith

Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics

Receipt and verification

First computed	2026-07-05T07:20:27.730916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32b45f1482cb7d85775b480782b15be544404eafba99956b5cf76274273d365

Aliases

arxiv: 2109.07330 · arxiv_version: 2109.07330v4 · doi: 10.48550/arxiv.2109.07330 · pith_short_12: 4MVUL4KIFS35 · pith_short_16: 4MVUL4KIFS35QV3V · pith_short_8: 4MVUL4KI

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/4MVUL4KIFS35QV3VWSAHQKYVXZ \
  | 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: e32b45f1482cb7d85775b480782b15be544404eafba99956b5cf76274273d365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27738c1606d29a32f0a0a4af6bffedf066d40eb3e29a77cc40c4f106e4052ba",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-15T14:38:03Z",
    "title_canon_sha256": "8eda39edafdecc0cd3f2785956206c98217f1d1a3c72f22298df7404a2a4a811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07330",
    "kind": "arxiv",
    "version": 4
  }
}