Pith Number

pith:ZJWH5DSK

pith:2014:ZJWH5DSKWRZDBHZ2DRGQDJ7BS5

not attested not anchored not stored refs pending

Entry times distribution for mixing systems

Fan Yang, Nicolai Haydn

arxiv:1412.4197 v2 · 2014-12-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJWH5DSKWRZDBHZ2DRGQDJ7BS5}

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	2026-05-18T02:26:38.481629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6c7e8e4ab472309f3a1c4d01a7e1975d517ab844c12e0985a5a0c332376438

Aliases

arxiv: 1412.4197 · arxiv_version: 1412.4197v2 · doi: 10.48550/arxiv.1412.4197 · pith_short_12: ZJWH5DSKWRZD · pith_short_16: ZJWH5DSKWRZDBHZ2 · pith_short_8: ZJWH5DSK

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/ZJWH5DSKWRZDBHZ2DRGQDJ7BS5 \
  | 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: ca6c7e8e4ab472309f3a1c4d01a7e1975d517ab844c12e0985a5a0c332376438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6368f05edc0d35e112670be352f4a102602dc8f6c08802dc9b5426a06815d095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-13T06:45:45Z",
    "title_canon_sha256": "3e0f0adaba225394df57495db1a533839f31a4041f3899bb0a451284c227f5de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4197",
    "kind": "arxiv",
    "version": 2
  }
}