Pith Number

pith:PCTZLVNA

pith:2015:PCTZLVNAHSX336QEZM2WAXXO5Q

not attested not anchored not stored refs pending

Improved mixing rates of directed cycles by added connection

Bal\'azs Gerencs\'er, Julien Hendrickx

arxiv:1509.01431 v4 · 2015-09-04 · 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{PCTZLVNAHSX336QEZM2WAXXO5Q}

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	2026-05-18T00:23:57.420981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a795d5a03cafbdfa04cb35605eeeec1a2bf3cd7e5d64876436739c96b87bc9

Aliases

arxiv: 1509.01431 · arxiv_version: 1509.01431v4 · doi: 10.48550/arxiv.1509.01431 · pith_short_12: PCTZLVNAHSX3 · pith_short_16: PCTZLVNAHSX336QE · pith_short_8: PCTZLVNA

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/PCTZLVNAHSX336QEZM2WAXXO5Q \
  | 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: 78a795d5a03cafbdfa04cb35605eeeec1a2bf3cd7e5d64876436739c96b87bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f8cf6d9f274916133584f94d152d7e826c465d0f9106822cc194641e5ab762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-04T12:49:38Z",
    "title_canon_sha256": "2ef97921c2dd3e1389d8b41d73a016cabfe18e3d2f5a19a4b9f4c63cbcca9d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01431",
    "kind": "arxiv",
    "version": 4
  }
}