Pith Number

pith:3YRVIS3S

pith:2014:3YRVIS3S7F5FR2HEPEBQZUFTNO

not attested not anchored not stored refs pending

Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains

Chen Jia, Daquan Jiang, Minping Qian

arxiv:1407.1263 v2 · 2014-07-04 · 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{3YRVIS3S7F5FR2HEPEBQZUFTNO}

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	2026-05-18T02:47:22.723870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de23544b72f97a58e8e479030cd0b36babbb875e65aab1df33e2f90e61b060d7

Aliases

arxiv: 1407.1263 · arxiv_version: 1407.1263v2 · doi: 10.48550/arxiv.1407.1263 · pith_short_12: 3YRVIS3S7F5F · pith_short_16: 3YRVIS3S7F5FR2HE · pith_short_8: 3YRVIS3S

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/3YRVIS3S7F5FR2HEPEBQZUFTNO \
  | 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: de23544b72f97a58e8e479030cd0b36babbb875e65aab1df33e2f90e61b060d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356367a19c1c6a4800462ae91cf6848b1e23eb3b8e4b240e0405803160c8871a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-04T15:29:44Z",
    "title_canon_sha256": "98d94125ba5c527f9ecf7101e0ed2652ac7c789281e5f3cea1be764d4e8cad6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1263",
    "kind": "arxiv",
    "version": 2
  }
}