Pith Number

pith:TBDZP56N

pith:2012:TBDZP56N7VRYZD4KTS6SFVPU3J

not attested not anchored not stored refs pending

Rigorous Results on the Bipartite Mean-Field Model

Francesco Unguendoli, Micaela Fedele

arxiv:1204.4420 v2 · 2012-04-19 · 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{TBDZP56N7VRYZD4KTS6SFVPU3J}

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	2026-05-18T01:57:48.575184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984797f7cdfd638c8f8a9cbd22d5f4da4694e46e1d17ed726528a991068be644

Aliases

arxiv: 1204.4420 · arxiv_version: 1204.4420v2 · doi: 10.48550/arxiv.1204.4420 · pith_short_12: TBDZP56N7VRY · pith_short_16: TBDZP56N7VRYZD4K · pith_short_8: TBDZP56N

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/TBDZP56N7VRYZD4KTS6SFVPU3J \
  | 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: 984797f7cdfd638c8f8a9cbd22d5f4da4694e46e1d17ed726528a991068be644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e6928d007982625ad54d6593a09db20326eba3a74bcf5082561adf4ab56258d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-19T17:53:25Z",
    "title_canon_sha256": "d835e6d6d0115f8fc45e39b423b1f9f989b951d186ac667b20cc6c2da7afce31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4420",
    "kind": "arxiv",
    "version": 2
  }
}