Pith Number

pith:YPCI2CS6

pith:2016:YPCI2CS65JOC4RSVRX7V4GR3KC

not attested not anchored not stored refs pending

The crossing number of the cone of a graph

Alan Arroyo, Bojan Mohar, Carlos A. Alfaro, Marek Der\u{n}\'ar

arxiv:1608.07680 v1 · 2016-08-27 · 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{YPCI2CS65JOC4RSVRX7V4GR3KC}

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	2026-05-18T01:07:50.126376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c48d0a5eea5c2e46558dff5e1a3b50b8693a485a3b1272bc3d0eb1bca3590d

Aliases

arxiv: 1608.07680 · arxiv_version: 1608.07680v1 · doi: 10.48550/arxiv.1608.07680 · pith_short_12: YPCI2CS65JOC · pith_short_16: YPCI2CS65JOC4RSV · pith_short_8: YPCI2CS6

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/YPCI2CS65JOC4RSVRX7V4GR3KC \
  | 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: c3c48d0a5eea5c2e46558dff5e1a3b50b8693a485a3b1272bc3d0eb1bca3590d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0c7dfdc14689fda5ba2440933db0ec51733b5d3dcd01a501f1f334cc0b0581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-27T09:08:33Z",
    "title_canon_sha256": "ccaaf9b8d03360481c45fc267ed244ff89b0c71999cdb60ad2d156344eb03bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07680",
    "kind": "arxiv",
    "version": 1
  }
}