Pith Number

pith:YKTR7R6B

pith:2012:YKTR7R6BNOESQLF4FJVFXUNRSP

not attested not anchored not stored refs pending

Family of Probability Distributions Derived from Maximal Entropy Principle with Scale Invariant Restrictions

Alberto Sonnino, Alessandro Cardinali, Giorgio Sonnino, Gy\"orgy Steinbrecher, Mustapha Tlidi

arxiv:1211.2326 v2 · 2012-11-10 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKTR7R6BNOESQLF4FJVFXUNRSP}

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	2026-05-18T01:53:17.152289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a71fc7c16b89282cbc2a6a5bd1b193ccb4ae4afcecfab7ebedbd94d1bd648e

Aliases

arxiv: 1211.2326 · arxiv_version: 1211.2326v2 · doi: 10.48550/arxiv.1211.2326 · pith_short_12: YKTR7R6BNOES · pith_short_16: YKTR7R6BNOESQLF4 · pith_short_8: YKTR7R6B

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/YKTR7R6BNOESQLF4FJVFXUNRSP \
  | 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: c2a71fc7c16b89282cbc2a6a5bd1b193ccb4ae4afcecfab7ebedbd94d1bd648e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279d0fa745feb7e60b10521d1149a1e699a128a86584beb022063246ece3bc38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-10T13:56:14Z",
    "title_canon_sha256": "f134a00b05e02aca3639fe7bd598a8646730d065961c5584d00b022b26d84fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2326",
    "kind": "arxiv",
    "version": 2
  }
}