Pith Number

pith:RZOJO5VZ

pith:2013:RZOJO5VZQILXY6ZMIRO5DG4A4F

not attested not anchored not stored refs pending

Excluding four-edge paths and their complements

Irena Penev, Maria Chudnovsky, Peter Maceli

arxiv:1302.0405 v2 · 2013-02-02 · 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{RZOJO5VZQILXY6ZMIRO5DG4A4F}

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	2026-05-18T01:25:16.475501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e5c9776b982177c7b2c445dd19b80e155491526bf78133ba9a8adee69e86eca

Aliases

arxiv: 1302.0405 · arxiv_version: 1302.0405v2 · doi: 10.48550/arxiv.1302.0405 · pith_short_12: RZOJO5VZQILX · pith_short_16: RZOJO5VZQILXY6ZM · pith_short_8: RZOJO5VZ

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/RZOJO5VZQILXY6ZMIRO5DG4A4F \
  | 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: 8e5c9776b982177c7b2c445dd19b80e155491526bf78133ba9a8adee69e86eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa57caeccc226e286a7d75ac7419ae49c0c6ab7881e58e0c7a0ea15196ecdf8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-02T17:13:53Z",
    "title_canon_sha256": "83b48a58cf34aecfb5f9b0184da4b16631785773c40b7141356261c1d0ef5073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0405",
    "kind": "arxiv",
    "version": 2
  }
}