Pith Number

pith:PNMOEEU4

pith:2012:PNMOEEU46WTTYOSNFAWZGBRUN3

not attested not anchored not stored refs pending

On the accuracy of the normal approximation for the free energy in the REM

Anselm Reichenbachs, Raphael Meiners

arxiv:1212.5797 v1 · 2012-12-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNMOEEU46WTTYOSNFAWZGBRUN3}

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	2026-05-18T03:27:43.275035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b58e2129cf5a73c3a4d282d9306346ee8050810642fe44ec9b93bcca18ed4b2

Aliases

arxiv: 1212.5797 · arxiv_version: 1212.5797v1 · doi: 10.48550/arxiv.1212.5797 · pith_short_12: PNMOEEU46WTT · pith_short_16: PNMOEEU46WTTYOSN · pith_short_8: PNMOEEU4

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/PNMOEEU46WTTYOSNFAWZGBRUN3 \
  | 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: 7b58e2129cf5a73c3a4d282d9306346ee8050810642fe44ec9b93bcca18ed4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c5b7dc55120b19286f609d3dba2c788bf46fb10b6eda8bea3e88dceb1d7eb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-23T14:07:54Z",
    "title_canon_sha256": "c2b73f1ae12c135abf94c32c19205c53f6ca45fca8a331e0137c7029a2ebf5b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5797",
    "kind": "arxiv",
    "version": 1
  }
}