Pith Number

pith:FIRZCICW

pith:2012:FIRZCICWGPL2SS3KOL4HEQSI3Z

not attested not anchored not stored refs pending

The Mean: Axiomatics, Generalizations,Applications

Andrew Vogt, John E. Gray

arxiv:1210.3908 v2 · 2012-10-15 · math.PR · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIRZCICWGPL2SS3KOL4HEQSI3Z}

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.

Cited by

1 paper in Pith

A Harmonic Mean Formulation of Average Reward Reinforcement Learning in SMDPs

Receipt and verification

First computed	2026-05-18T03:31:32.624616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2391205633d7a94b6a72f8724248de5dfa916835aa48cda3dd0620f4985e13

Aliases

arxiv: 1210.3908 · arxiv_version: 1210.3908v2 · doi: 10.48550/arxiv.1210.3908 · pith_short_12: FIRZCICWGPL2 · pith_short_16: FIRZCICWGPL2SS3K · pith_short_8: FIRZCICW

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/FIRZCICWGPL2SS3KOL4HEQSI3Z \
  | 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: 2a2391205633d7a94b6a72f8724248de5dfa916835aa48cda3dd0620f4985e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65c9aa9642d0054383821ac551b7bc8b6e2f0fd51e9dc1de0fa08dee6d885e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-15T06:07:23Z",
    "title_canon_sha256": "81c0cf5408f2776ba14336359ea47060decfd4eb48553fb4bc7e6c878dce5916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3908",
    "kind": "arxiv",
    "version": 2
  }
}