Pith Number

pith:VD32DP5J

pith:2019:VD32DP5JTI7RQEUM7KDGSBSGFE

not attested not anchored not stored refs pending

Probabilistic Existence Results for Parent-Identifying Schemes

Grigory Kabatiansky, Minquan Cheng, Ying Miao, Yujie Gu

arxiv:1906.01031 v1 · 2019-06-03 · cs.IT · cs.DM · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD32DP5JTI7RQEUM7KDGSBSGFE}

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	2026-05-17T23:44:18.058615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f7a1bfa99a3f18128cfa86690646292607867cca5dbce3cab6036becbc53d0

Aliases

arxiv: 1906.01031 · arxiv_version: 1906.01031v1 · doi: 10.48550/arxiv.1906.01031 · pith_short_12: VD32DP5JTI7R · pith_short_16: VD32DP5JTI7RQEUM · pith_short_8: VD32DP5J

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/VD32DP5JTI7RQEUM7KDGSBSGFE \
  | 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: a8f7a1bfa99a3f18128cfa86690646292607867cca5dbce3cab6036becbc53d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f9d0dbff1c68edafc26d85b2dba72337eb6ac039db6278fe2b142a401de17a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-06-03T19:16:03Z",
    "title_canon_sha256": "57ed50e7ed514d6b613b6980df31ff503031c134f8686093e1e5125917fc0d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01031",
    "kind": "arxiv",
    "version": 1
  }
}