Pith Number

pith:TEXVUXZZ

pith:2008:TEXVUXZZ57YGTX5SM2FLQF7N7N

not attested not anchored not stored refs pending

Phase structure, critical points and susceptibilities in Nambu-Jona-Lasinio type models

C. A de Sousa, M. C. Ruivo, Pedro Costa

arxiv:0801.3426 v1 · 2008-01-22 · 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{TEXVUXZZ57YGTX5SM2FLQF7N7N}

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	2026-07-04T15:39:52.536221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e

Aliases

arxiv: 0801.3426 · arxiv_version: 0801.3426v1 · doi: 10.48550/arxiv.0801.3426 · pith_short_12: TEXVUXZZ57YG · pith_short_16: TEXVUXZZ57YGTX5S · pith_short_8: TEXVUXZZ

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/TEXVUXZZ57YGTX5SM2FLQF7N7N \
  | 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: 992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc979c13b9388e0399d08609a7e5e0699b90dbcb0719ded6333564d741e7e245",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-01-22T17:59:14Z",
    "title_canon_sha256": "ace10baf82d927df95d48c6de3d6b7ad0eac3f7df3304deb85bfc03cefb0b26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3426",
    "kind": "arxiv",
    "version": 1
  }
}