Pith Number

pith:YJDS3OTC

pith:2011:YJDS3OTCIUUHUCHN6PPVNYLKEO

not attested not anchored not stored refs pending

Graph Invertibility

Cam McLeman, Erin McNicholas

arxiv:1108.3588 v1 · 2011-08-17 · 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{YJDS3OTCIUUHUCHN6PPVNYLKEO}

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	2026-05-18T04:15:15.893809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2472dba6245287a08edf3df56e16a23bcaa3377f5d35940e900e77a85003c93

Aliases

arxiv: 1108.3588 · arxiv_version: 1108.3588v1 · doi: 10.48550/arxiv.1108.3588 · pith_short_12: YJDS3OTCIUUH · pith_short_16: YJDS3OTCIUUHUCHN · pith_short_8: YJDS3OTC

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/YJDS3OTCIUUHUCHN6PPVNYLKEO \
  | 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: c2472dba6245287a08edf3df56e16a23bcaa3377f5d35940e900e77a85003c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ef4b7481666e8b40d6045af99121dc0f3e9f92ca474f5ad8ca494ab236cb7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-17T22:16:26Z",
    "title_canon_sha256": "56c65f08a633e18b30dfbe179447ed4ca879b090bf1780730a7638644af0bec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3588",
    "kind": "arxiv",
    "version": 1
  }
}