Pith Number

pith:24OGGC55

pith:2013:24OGGC55SPWEQEL62DOMBPOMS3

not attested not anchored not stored refs pending

Co-jumps and Markov counting systems in random environments

Carles Bret\'o

arxiv:1312.5903 v1 · 2013-12-20 · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24OGGC55SPWEQEL62DOMBPOMS3}

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	2026-05-18T03:04:07.571530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71c630bbd93ec48117ed0dcc0bdcc96ce05ba42c2ec4ee4ef008ef37dce1ec6

Aliases

arxiv: 1312.5903 · arxiv_version: 1312.5903v1 · doi: 10.48550/arxiv.1312.5903 · pith_short_12: 24OGGC55SPWE · pith_short_16: 24OGGC55SPWEQEL6 · pith_short_8: 24OGGC55

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/24OGGC55SPWEQEL62DOMBPOMS3 \
  | 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: d71c630bbd93ec48117ed0dcc0bdcc96ce05ba42c2ec4ee4ef008ef37dce1ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1d3d567492fa9819b3f714389817a27592cd1e55d1ee63f4aafc3125e51d5a",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-20T11:54:46Z",
    "title_canon_sha256": "2054f517fc9f2fa4f873f70e1f86c6110e1e299cb4199a9af149c73498485090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5903",
    "kind": "arxiv",
    "version": 1
  }
}