Pith Number

pith:M2JTQJBH

pith:2016:M2JTQJBHI7KSAHPJV37RBFXH6K

not attested not anchored not stored refs pending

Fluctuation theory for Markov random walks

Fabian Buckmann, Gerold Alsmeyer

arxiv:1608.08377 v2 · 2016-08-30 · 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{M2JTQJBHI7KSAHPJV37RBFXH6K}

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	2026-05-18T00:42:35.124631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

669338242747d5201de9aeff1096e7f29d6803b199c44aa2a55180db5ada9080

Aliases

arxiv: 1608.08377 · arxiv_version: 1608.08377v2 · doi: 10.48550/arxiv.1608.08377 · pith_short_12: M2JTQJBHI7KS · pith_short_16: M2JTQJBHI7KSAHPJ · pith_short_8: M2JTQJBH

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/M2JTQJBHI7KSAHPJV37RBFXH6K \
  | 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: 669338242747d5201de9aeff1096e7f29d6803b199c44aa2a55180db5ada9080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1be7a09089cae265817e31ea6b8848a9f0cffc4e3260f40c8999c4d601eddb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-30T09:16:09Z",
    "title_canon_sha256": "a85785420613792ac8b173cd880c1b3c6545010750bb28bef9ed17f707367150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08377",
    "kind": "arxiv",
    "version": 2
  }
}