Pith Number

pith:L3XKXZ6I

pith:2015:L3XKXZ6IA3S5F6RCR5QOJBZSDR

not attested not anchored not stored refs pending

Forbidden subgraphs in the norm graph

Simeon Ball, Valentina Pepe

arxiv:1502.01502 v1 · 2015-02-05 · 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{L3XKXZ6IA3S5F6RCR5QOJBZSDR}

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	2026-05-18T02:27:51.907061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eeeabe7c806e5d2fa228f60e487321c7ae2bf9bdd0b29579f14ec9991e2bccc

Aliases

arxiv: 1502.01502 · arxiv_version: 1502.01502v1 · doi: 10.48550/arxiv.1502.01502 · pith_short_12: L3XKXZ6IA3S5 · pith_short_16: L3XKXZ6IA3S5F6RC · pith_short_8: L3XKXZ6I

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/L3XKXZ6IA3S5F6RCR5QOJBZSDR \
  | 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: 5eeeabe7c806e5d2fa228f60e487321c7ae2bf9bdd0b29579f14ec9991e2bccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f35ea1bc0addd35eaf9c313f86ed091de30ecde881c7d164a7e7d6dd29bf878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-05T11:14:58Z",
    "title_canon_sha256": "076ea384aee378acb5d425de6587a1310a4695d156664dc11335d965ae86e253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01502",
    "kind": "arxiv",
    "version": 1
  }
}