Pith Number

pith:6V5ID34I

pith:2017:6V5ID34I3UZU57AY2SGAKIOX6D

not attested not anchored not stored refs pending

Quantitative Boltzmann Gibbs principles via orthogonal polynomial duality

Frank Redig, Gioia Carinci, Mario Ayala

arxiv:1712.08492 v1 · 2017-12-22 · 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{6V5ID34I3UZU57AY2SGAKIOX6D}

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	2026-05-18T00:13:30.800222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f57a81ef88dd334efc18d48c0521d7f0c2e5ae279dfd321c1b7746ea92e20228

Aliases

arxiv: 1712.08492 · arxiv_version: 1712.08492v1 · doi: 10.48550/arxiv.1712.08492 · pith_short_12: 6V5ID34I3UZU · pith_short_16: 6V5ID34I3UZU57AY · pith_short_8: 6V5ID34I

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/6V5ID34I3UZU57AY2SGAKIOX6D \
  | 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: f57a81ef88dd334efc18d48c0521d7f0c2e5ae279dfd321c1b7746ea92e20228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5aaf9ba77b716dfec1fc1a7b3e8b1c8a4c3b704397e18b6a701cc65f6a7204",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-22T15:08:20Z",
    "title_canon_sha256": "6759244f5c620a628fb3bf7686b47e0afb87a3d739b1df957b2e775f0d91aebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08492",
    "kind": "arxiv",
    "version": 1
  }
}