Pith Number

pith:54VFKMUJ

pith:2004:54VFKMUJ5BXYQKINSYC56NHHYQ

not attested not anchored not stored refs pending

Two regularizations - two different models of Nambu-Jona-Lasinio

R.G. Jafarov, V.E. Rochev

arxiv:hep-ph/0406333 v2 · 2004-06-30 · 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{54VFKMUJ5BXYQKINSYC56NHHYQ}

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	2026-05-18T01:39:05.616247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2a553289e86f88290d9605df34e7c41e1cc00a2d84e9a36494318875a0af4e

Aliases

arxiv: hep-ph/0406333 · arxiv_version: hep-ph/0406333v2 · doi: 10.48550/arxiv.hep-ph/0406333 · pith_short_12: 54VFKMUJ5BXY · pith_short_16: 54VFKMUJ5BXYQKIN · pith_short_8: 54VFKMUJ

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/54VFKMUJ5BXYQKINSYC56NHHYQ \
  | 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: ef2a553289e86f88290d9605df34e7c41e1cc00a2d84e9a36494318875a0af4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3a293237d0ef0b4fad3701f652dd65a01b37aeba55ac8cb2524cc92fc9fe0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-06-30T12:55:12Z",
    "title_canon_sha256": "9b25f68c492158995defe134c8db0b4bcb275d5e96c4209fb687986be8654d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0406333",
    "kind": "arxiv",
    "version": 2
  }
}