Pith Number

pith:J3DKMU6J

pith:2007:J3DKMU6J2C4T563QLKXCI3MDYP

not attested not anchored not stored refs pending

1/Nc Expansion in QCD: Double-Line Counting Rules and the Undeservingly Discarded U(1) Ghost

Anthony W. Thomas, Hrayr H. Matevosyan

arxiv:0708.1019 v2 · 2007-08-07 · hep-ph · hep-th · nucl-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{J3DKMU6J2C4T563QLKXCI3MDYP}

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	2026-05-18T02:35:30.636570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec6a653c9d0b93efb705aae246d83c3f97fafbb79f6021be7670d3dff334394

Aliases

arxiv: 0708.1019 · arxiv_version: 0708.1019v2 · doi: 10.48550/arxiv.0708.1019 · pith_short_12: J3DKMU6J2C4T · pith_short_16: J3DKMU6J2C4T563Q · pith_short_8: J3DKMU6J

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/J3DKMU6J2C4T563QLKXCI3MDYP \
  | 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: 4ec6a653c9d0b93efb705aae246d83c3f97fafbb79f6021be7670d3dff334394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ebd8008e01ffbe4a615feae5a99455e64b402b8d89188702a301efc92025676",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-08-07T21:31:48Z",
    "title_canon_sha256": "84057dfc0e5110ffd77a2b39ccdce6271f254446b64fffbbc238e5f6751b45e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1019",
    "kind": "arxiv",
    "version": 2
  }
}