Pith Number

pith:FCX2KIAP

pith:2017:FCX2KIAPI3FKWLRQ2DK425PKIW

not attested not anchored not stored refs pending

On Fan-Crossing Graphs

Franz J. Brandenburg

arxiv:1712.06840 v1 · 2017-12-19 · cs.DM · 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{FCX2KIAPI3FKWLRQ2DK425PKIW}

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	2026-05-18T00:27:40.231134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28afa5200f46caab2e30d0d5cd75ea45a8fd817116c03dff89b95cd93eb3cc47

Aliases

arxiv: 1712.06840 · arxiv_version: 1712.06840v1 · doi: 10.48550/arxiv.1712.06840 · pith_short_12: FCX2KIAPI3FK · pith_short_16: FCX2KIAPI3FKWLRQ · pith_short_8: FCX2KIAP

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/FCX2KIAPI3FKWLRQ2DK425PKIW \
  | 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: 28afa5200f46caab2e30d0d5cd75ea45a8fd817116c03dff89b95cd93eb3cc47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788fc35ce552c5b9eab68bf828c697915e5a6a6f4f171278cb208952108c02f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-12-19T09:39:26Z",
    "title_canon_sha256": "6000e16e01125ae4e84a5a59a55f27f4d90bbc30cffae55a3f26e4ef01fc0802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06840",
    "kind": "arxiv",
    "version": 1
  }
}