Pith Number

pith:JXFLD7ZY

pith:2016:JXFLD7ZYGSWULDKVQS4XKYKARY

not attested not anchored not stored refs pending

Comparing Graphs of Different Sizes

Russell Lyons

arxiv:1602.06995 v2 · 2016-02-22 · math.CO · 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{JXFLD7ZYGSWULDKVQS4XKYKARY}

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	2026-05-18T00:06:21.075540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dcab1ff3834ad458d5584b97561408e39c0145704f98a2150a18c2ef8d38bd6

Aliases

arxiv: 1602.06995 · arxiv_version: 1602.06995v2 · doi: 10.48550/arxiv.1602.06995 · pith_short_12: JXFLD7ZYGSWU · pith_short_16: JXFLD7ZYGSWULDKV · pith_short_8: JXFLD7ZY

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/JXFLD7ZYGSWULDKVQS4XKYKARY \
  | 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: 4dcab1ff3834ad458d5584b97561408e39c0145704f98a2150a18c2ef8d38bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8df64da7a9637ec7c2abe3b194a99ca5f1b689a76f4e905284ebef905058c36",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-22T23:25:23Z",
    "title_canon_sha256": "45752eb078eab203c1594752dba1a8a8a2911c753f9f048f25547a5bfb239a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06995",
    "kind": "arxiv",
    "version": 2
  }
}