Pith Number

pith:NGAOLQBZ

pith:2004:NGAOLQBZF3J2HLY7EEYZYYDBWJ

not attested not anchored not stored refs pending

Generalized Ward identity and gauge invariance of the color-superconducting gap

Defu Hou (Frankfurt U. & Huazhong Normal U.), Dirk H. Rischke (Frankfurt U.), Qun Wang (Frankfurt U. & Shangdong U.)

arxiv:hep-ph/0401152 v1 · 2004-01-21 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGAOLQBZF3J2HLY7EEYZYYDBWJ}

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	2026-07-04T16:48:05.532577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6980e5c0392ed3a3af1f21319c6061b25cb05697556ef60f855968ed136c2a16

Aliases

arxiv: hep-ph/0401152 · arxiv_version: hep-ph/0401152v1 · doi: 10.48550/arxiv.hep-ph/0401152 · pith_short_12: NGAOLQBZF3J2 · pith_short_16: NGAOLQBZF3J2HLY7 · pith_short_8: NGAOLQBZ

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/NGAOLQBZF3J2HLY7EEYZYYDBWJ \
  | 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: 6980e5c0392ed3a3af1f21319c6061b25cb05697556ef60f855968ed136c2a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c7a694b0795cfab746c3ed114e19007f9ace478538fdc23a7932e6359811ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-01-21T11:21:17Z",
    "title_canon_sha256": "731f308bdcb81610f154707c6a3c17e258774da11686d3b033ccd37c55726cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0401152",
    "kind": "arxiv",
    "version": 1
  }
}