Pith Number

pith:P7L3QYTU

pith:2001:P7L3QYTU5S72ZGRRJCEQPHVHGL

not attested not anchored not stored refs pending

Yang-Mills fields as optical media

A. L. Barbosa, R. Aldrovandi

arxiv:math-ph/0107027 v1 · 2001-07-27 · math-ph · hep-th · 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{P7L3QYTU5S72ZGRRJCEQPHVHGL}

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.

Receipt and verification

First computed	2026-05-18T01:05:32.065073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd7b86274ecbfac9a314889079ea732c8fa405e2ae8805a1694329fc39929c9

Aliases

arxiv: math-ph/0107027 · arxiv_version: math-ph/0107027v1 · doi: 10.48550/arxiv.math-ph/0107027 · pith_short_12: P7L3QYTU5S72 · pith_short_16: P7L3QYTU5S72ZGRR · pith_short_8: P7L3QYTU

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/P7L3QYTU5S72ZGRRJCEQPHVHGL \
  | 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: 7fd7b86274ecbfac9a314889079ea732c8fa405e2ae8805a1694329fc39929c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94debf5b916bc7167b1e84c20f9667f521460056260bd50f587ec16d9d171a4f",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-07-27T12:55:40Z",
    "title_canon_sha256": "b87ab94e1fd5ffe1d503ac04fd4beb795e00cbe9a37da11547f28aee657bc053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0107027",
    "kind": "arxiv",
    "version": 1
  }
}