Pith Number

pith:PAP4DF3T

pith:2014:PAP4DF3TQUB5GGCWRTE4XL6UUD

not attested not anchored not stored refs pending

On the Component Number of Links from Plane Graphs

Daniel S. Silver, Susan G. Williams

arxiv:1408.6815 v2 · 2014-08-28 · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAP4DF3TQUB5GGCWRTE4XL6UUD}

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	2026-05-18T02:37:44.313506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781fc197738503d318568cc9cbafd4a0e1ba9d2857fa7b505df0c8c146e49fe6

Aliases

arxiv: 1408.6815 · arxiv_version: 1408.6815v2 · doi: 10.48550/arxiv.1408.6815 · pith_short_12: PAP4DF3TQUB5 · pith_short_16: PAP4DF3TQUB5GGCW · pith_short_8: PAP4DF3T

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/PAP4DF3TQUB5GGCWRTE4XL6UUD \
  | 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: 781fc197738503d318568cc9cbafd4a0e1ba9d2857fa7b505df0c8c146e49fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0805a6c93177f1124cf70fe82c0c8bfe314b9937db9fad736838daa6f488c841",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-28T19:20:10Z",
    "title_canon_sha256": "3ba833c7a194143b3fb973bdd7adc7391bfff6639d60bca445ad02401833e68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6815",
    "kind": "arxiv",
    "version": 2
  }
}