Pith Number

pith:EGOIVHHO

pith:2017:EGOIVHHOMNNVI3JKTJP2RXIQZW

not attested not anchored not stored refs pending

A vertex and edge deletion game on graphs

Cormac O'Sullivan

arxiv:1709.01354 v2 · 2017-09-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGOIVHHOMNNVI3JKTJP2RXIQZW}

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	2026-05-18T00:02:45.615788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

219c8a9cee635b546d2a9a5fa8dd10cd8b63f3210b270090cce20c1eb11e0765

Aliases

arxiv: 1709.01354 · arxiv_version: 1709.01354v2 · doi: 10.48550/arxiv.1709.01354 · pith_short_12: EGOIVHHOMNNV · pith_short_16: EGOIVHHOMNNVI3JK · pith_short_8: EGOIVHHO

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/EGOIVHHOMNNVI3JKTJP2RXIQZW \
  | 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: 219c8a9cee635b546d2a9a5fa8dd10cd8b63f3210b270090cce20c1eb11e0765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98a62571ddf1476438a11789d85abe298197428dc27526a1474d623f5322cb6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-05T12:40:10Z",
    "title_canon_sha256": "4d74d0306db7dcf9004d6d42b22ee2b53cb11e2737ab3b87672495c4ed3e5be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01354",
    "kind": "arxiv",
    "version": 2
  }
}