Pith Number

pith:RVBTA44D

pith:2010:RVBTA44DFI5UL6HHJ7KI7JTUXT

not attested not anchored not stored refs pending

Expected Crossing Numbers

Bojan Mohar, Tamon Stephen

arxiv:1012.2579 v1 · 2010-12-12 · 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{RVBTA44DFI5UL6HHJ7KI7JTUXT}

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	2026-05-18T04:33:28.295043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d433073832a3b45f8e74fd48fa674bcf786355204337d76972a46df4caeaf3d

Aliases

arxiv: 1012.2579 · arxiv_version: 1012.2579v1 · doi: 10.48550/arxiv.1012.2579 · pith_short_12: RVBTA44DFI5U · pith_short_16: RVBTA44DFI5UL6HH · pith_short_8: RVBTA44D

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/RVBTA44DFI5UL6HHJ7KI7JTUXT \
  | 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: 8d433073832a3b45f8e74fd48fa674bcf786355204337d76972a46df4caeaf3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a30e4ef231860844b54179ae38720fc7b95f63ac79a8d35f97ca669250ca2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-12T19:45:05Z",
    "title_canon_sha256": "dfcaffe95c54621d272c0be4471e625de99e3d99800df24765743d06d3f06fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2579",
    "kind": "arxiv",
    "version": 1
  }
}