Pith Number

pith:54AZF3I3

pith:2008:54AZF3I3B4WESOUJKENW3D3Y4I

not attested not anchored not stored refs pending

Yang-Mills Propagators and QCD

Marco Frasca

arxiv:0807.4299 v2 · 2008-07-27 · hep-ph · hep-lat · 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{54AZF3I3B4WESOUJKENW3D3Y4I}

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

Quintessence Dark Energy from non-perturbative Higgs-Yang-Mills mass gap

Receipt and verification

First computed	2026-07-04T15:39:31.269540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0192ed1b0f2c493a89511b6d8f78e2340e43ffd96f1be494d760defe2d82bc

Aliases

arxiv: 0807.4299 · arxiv_version: 0807.4299v2 · doi: 10.48550/arxiv.0807.4299 · pith_short_12: 54AZF3I3B4WE · pith_short_16: 54AZF3I3B4WESOUJ · pith_short_8: 54AZF3I3

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/54AZF3I3B4WESOUJKENW3D3Y4I \
  | 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: ef0192ed1b0f2c493a89511b6d8f78e2340e43ffd96f1be494d760defe2d82bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab6cee6d2e43c60995d552b816fdddcca176ad69dd8551a3a7680218de373d3",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-07-27T21:55:50Z",
    "title_canon_sha256": "9aebc194b898de2d0cad9cd2e4ca44ec2eedd74b194f645d8faac6889c2beeb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4299",
    "kind": "arxiv",
    "version": 2
  }
}