Pith Number

pith:GFJD436B

pith:2012:GFJD436B7PUH7OXOM5JABL7P4H

not attested not anchored not stored refs pending

Numerical solution of the t-J model with random exchange couplings in d=infinity dimensions

Dieter Vollhardt, Junya Otsuki

arxiv:1212.4022 v2 · 2012-12-17 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFJD436B7PUH7OXOM5JABL7P4H}

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	2026-05-18T03:25:58.890593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31523e6fc1fbe87fbaee675200afefe1fd50a1afba3630e7cc4025229fbd3f79

Aliases

arxiv: 1212.4022 · arxiv_version: 1212.4022v2 · doi: 10.48550/arxiv.1212.4022 · pith_short_12: GFJD436B7PUH · pith_short_16: GFJD436B7PUH7OXO · pith_short_8: GFJD436B

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/GFJD436B7PUH7OXOM5JABL7P4H \
  | 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: 31523e6fc1fbe87fbaee675200afefe1fd50a1afba3630e7cc4025229fbd3f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0693e276fa2e3d919a9b284507a2552def0c32fe9a07a5a157b39e556a536a95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-12-17T15:28:45Z",
    "title_canon_sha256": "47c8e3a241e76243169cdc244983bd014636637d70e28893380a5ca285d336b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4022",
    "kind": "arxiv",
    "version": 2
  }
}