Pith Number

pith:ZHDHHAJ3

pith:2012:ZHDHHAJ3FDZNLSIIGJZARP7U7L

not attested not anchored not stored refs pending

Phase transition in the massive Gross-Neveu model in toroidal topologies

A. E. Santana, A. P. C. Malbouisson, F. C. Khanna, J. M. C. Malbouisson

arxiv:1203.3580 v1 · 2012-03-15 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHDHHAJ3FDZNLSIIGJZARP7U7L}

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	2026-05-18T01:58:08.200501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c673813b28f2d5c908327208bff4faea833a97b61b0b43a646712b4c16a636

Aliases

arxiv: 1203.3580 · arxiv_version: 1203.3580v1 · doi: 10.48550/arxiv.1203.3580 · pith_short_12: ZHDHHAJ3FDZN · pith_short_16: ZHDHHAJ3FDZNLSII · pith_short_8: ZHDHHAJ3

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/ZHDHHAJ3FDZNLSIIGJZARP7U7L \
  | 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: c9c673813b28f2d5c908327208bff4faea833a97b61b0b43a646712b4c16a636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9534ca3ead818cbcab85f902e68bb6568a956c05f927969d7326c2910dc35ae1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-03-15T21:53:57Z",
    "title_canon_sha256": "023df961a2f4abbfbf80be6907e7597255c2328d0b80f828c07106934e37597e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3580",
    "kind": "arxiv",
    "version": 1
  }
}