Pith Number

pith:6K5UNXSD

pith:2005:6K5UNXSDVTNN6XS36ZGZ4UMUW5

not attested not anchored not stored refs pending

Free-differentiability conditions on the free-energy function implying large deviations

Henri Comman

arxiv:math/0506044 v1 · 2005-06-02 · 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{6K5UNXSDVTNN6XS36ZGZ4UMUW5}

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	2026-05-18T01:25:18.646524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2bb46de43acdadf5e5bf64d9e5194b742373a11d11432e326e2cb8a23010c80

Aliases

arxiv: math/0506044 · arxiv_version: math/0506044v1 · doi: 10.48550/arxiv.math/0506044 · pith_short_12: 6K5UNXSDVTNN · pith_short_16: 6K5UNXSDVTNN6XS3 · pith_short_8: 6K5UNXSD

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/6K5UNXSDVTNN6XS36ZGZ4UMUW5 \
  | 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: f2bb46de43acdadf5e5bf64d9e5194b742373a11d11432e326e2cb8a23010c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b143a245aedf5a5edb334e290ad5e41c1d60411590778557fb294b51b08fa26",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-06-02T15:36:05Z",
    "title_canon_sha256": "90a055fa2e16ab74e92cbe3f1e3205925fc24f605abbe3aa0740d11be848d908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506044",
    "kind": "arxiv",
    "version": 1
  }
}