Pith Number

pith:TLFQQK5Z

pith:2019:TLFQQK5ZOIAQYEPD3RGU4IIYEC

not attested not anchored not stored refs pending

Enumerating Unique Computational Graphs via an Iterative Graph Invariant

Chris Ying

arxiv:1902.06192 v1 · 2019-02-17 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLFQQK5ZOIAQYEPD3RGU4IIYEC}

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	2026-05-17T23:53:46.325260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9acb082bb972010c11e3dc4d4e2118209a0e58f8a91974710790c9346d7f6de1

Aliases

arxiv: 1902.06192 · arxiv_version: 1902.06192v1 · doi: 10.48550/arxiv.1902.06192 · pith_short_12: TLFQQK5ZOIAQ · pith_short_16: TLFQQK5ZOIAQYEPD · pith_short_8: TLFQQK5Z

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/TLFQQK5ZOIAQYEPD3RGU4IIYEC \
  | 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: 9acb082bb972010c11e3dc4d4e2118209a0e58f8a91974710790c9346d7f6de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffda26989473f25d0b9ba9aae69743b41b1d75edceb7556b7595824aecf5e157",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-02-17T03:15:25Z",
    "title_canon_sha256": "45e2f88f4625c03f64fe71a1d0b9c08bc99c4f2a2d709b52b8ad45a2dd54af3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06192",
    "kind": "arxiv",
    "version": 1
  }
}