Pith Number

pith:BEHDBR6G

pith:2010:BEHDBR6GKMIL3HCQQB5HDEZN26

not attested not anchored not stored refs pending

Phase diagram and critical properties in the Polyakov--Nambu--Jona-Lasinio model

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

arxiv:1011.5601 v1 · 2010-11-25 · 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{BEHDBR6GKMIL3HCQQB5HDEZN26}

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	2026-05-18T04:19:41.139764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090e30c7c65310bd9c50807a71932dd7969a630bf8799b759b2a45c9b1678036

Aliases

arxiv: 1011.5601 · arxiv_version: 1011.5601v1 · doi: 10.48550/arxiv.1011.5601 · pith_short_12: BEHDBR6GKMIL · pith_short_16: BEHDBR6GKMIL3HCQ · pith_short_8: BEHDBR6G

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/BEHDBR6GKMIL3HCQQB5HDEZN26 \
  | 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: 090e30c7c65310bd9c50807a71932dd7969a630bf8799b759b2a45c9b1678036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b720e64879b808a7dace54d92dac6804e84d8ac760ceba7fa32592c01e581e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-11-25T11:49:22Z",
    "title_canon_sha256": "d7a2e8d5c38cb20e3b2461d055fa5ac89ef9cf7f6a5bab05ad292317c89fab30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5601",
    "kind": "arxiv",
    "version": 1
  }
}