Pith Number

pith:AJPDXP62

pith:2011:AJPDXP62GMIQCQ4MDQH5EVU3CE

not attested not anchored not stored refs pending

Regular $g$-measures are not always Gibbsian

Gr\'egory Maillard, Roberto Fern\'andez, Sandro Gallo

arxiv:1106.4188 v1 · 2011-06-21 · math.PR · 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{AJPDXP62GMIQCQ4MDQH5EVU3CE}

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	2026-05-18T04:19:33.930292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

025e3bbfda331101438c1c0fd2569b111e9db0ad5f9adefabeaec7fcb22c99ac

Aliases

arxiv: 1106.4188 · arxiv_version: 1106.4188v1 · doi: 10.48550/arxiv.1106.4188 · pith_short_12: AJPDXP62GMIQ · pith_short_16: AJPDXP62GMIQCQ4M · pith_short_8: AJPDXP62

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/AJPDXP62GMIQCQ4MDQH5EVU3CE \
  | 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: 025e3bbfda331101438c1c0fd2569b111e9db0ad5f9adefabeaec7fcb22c99ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b399986bdda8a9a0497065a4da12b562958a12a4b5ad2a3d117657268889f885",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-21T13:07:09Z",
    "title_canon_sha256": "2cdab2246358d20e7ab4355f917c8b6d761d00e28934a76f8df19b1aa30dcb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4188",
    "kind": "arxiv",
    "version": 1
  }
}