Pith Number

pith:ZL2FRBAI

pith:2016:ZL2FRBAIQ4OZFS3D3HSNSDTFG3

not attested not anchored not stored refs pending

A Graph-Algorithmic Approach for the Study of Metastability in Markov Chains

Maria Cameron, Tingyue Gan

arxiv:1607.00078 v2 · 2016-06-30 · 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{ZL2FRBAIQ4OZFS3D3HSNSDTFG3}

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	2026-05-18T00:51:48.308270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf4588408871d92cb63d9e4d90e6536facde5f9ab727c930213b7d27fa4c8da

Aliases

arxiv: 1607.00078 · arxiv_version: 1607.00078v2 · doi: 10.48550/arxiv.1607.00078 · pith_short_12: ZL2FRBAIQ4OZ · pith_short_16: ZL2FRBAIQ4OZFS3D · pith_short_8: ZL2FRBAI

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/ZL2FRBAIQ4OZFS3D3HSNSDTFG3 \
  | 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: caf4588408871d92cb63d9e4d90e6536facde5f9ab727c930213b7d27fa4c8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3627342e03349a9875c8daccd21830f91756b0c9b77badf0e5cd5d7c5ec9c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-30T23:19:33Z",
    "title_canon_sha256": "33458d6d9d74e4849970e3746b18453d8eb368be20b1d8db36052d4d2c01c7d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00078",
    "kind": "arxiv",
    "version": 2
  }
}