Pith Number

pith:S2J5UJKP

pith:2014:S2J5UJKPLYBQZBWJJ4LBEH5Q7H

not attested not anchored not stored refs pending

Markov models of macrosystems

Alexander Gasnikov

arxiv:1412.2720 v10 · 2014-12-08 · 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{S2J5UJKPLYBQZBWJJ4LBEH5Q7H}

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	2026-05-18T00:13:48.656084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9693da254f5e030c86c94f16121fb0f9c4c144529a9bda281c7029dff3f65974

Aliases

arxiv: 1412.2720 · arxiv_version: 1412.2720v10 · doi: 10.48550/arxiv.1412.2720 · pith_short_12: S2J5UJKPLYBQ · pith_short_16: S2J5UJKPLYBQZBWJ · pith_short_8: S2J5UJKP

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/S2J5UJKPLYBQZBWJJ4LBEH5Q7H \
  | 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: 9693da254f5e030c86c94f16121fb0f9c4c144529a9bda281c7029dff3f65974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23b60c486494a2ac08e933d86b4e93a2585f87d105559a18d82cf9d6888c7704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-08T20:20:43Z",
    "title_canon_sha256": "c2a7b4494058e7d7ef16f0ddbd12f40ab968ce2fe9d91ff011d2a8e6965bacf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2720",
    "kind": "arxiv",
    "version": 10
  }
}