Pith Number

pith:MBAGSJBR

pith:2009:MBAGSJBRVRZZRSTB33TGUQV2AA

not attested not anchored not stored refs pending

Markov processes on time-like graphs

Krzysztof Burdzy, Soumik Pal

arxiv:0912.0328 v3 · 2009-12-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBAGSJBRVRZZRSTB33TGUQV2AA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:40:49.841797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6040692431ac7398ca61dee66a42ba001eb4c8d0955083504059675c138c3de2

Aliases

arxiv: 0912.0328 · arxiv_version: 0912.0328v3 · doi: 10.48550/arxiv.0912.0328 · pith_short_12: MBAGSJBRVRZZ · pith_short_16: MBAGSJBRVRZZRSTB · pith_short_8: MBAGSJBR

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/MBAGSJBRVRZZRSTB33TGUQV2AA \
  | 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: 6040692431ac7398ca61dee66a42ba001eb4c8d0955083504059675c138c3de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2f4c9cc1af1a0622cbbbe4f1374368c9be7cbeba1995d18f7af14aa174a9df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-02T03:02:42Z",
    "title_canon_sha256": "f07214009a59da493d578765aa04281edb6e4785d2988584e9406c14dc73c9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0328",
    "kind": "arxiv",
    "version": 3
  }
}