Pith Number

pith:N4HTENO6

pith:2012:N4HTENO6NHXMPHG6SVMRU7VWFR

not attested not anchored not stored refs pending

On the number of links in a linearly embedded $K_{3,3,1}$

Elena Pavelescu, Ramin Naimi

arxiv:1207.0572 v1 · 2012-07-03 · math.GT · 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{N4HTENO6NHXMPHG6SVMRU7VWFR}

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	2026-05-18T03:51:57.715392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0f3235de69eec79cde95591a7eb62c6361adc7fcc93e5c6cb8b1ceadb0712c

Aliases

arxiv: 1207.0572 · arxiv_version: 1207.0572v1 · doi: 10.48550/arxiv.1207.0572 · pith_short_12: N4HTENO6NHXM · pith_short_16: N4HTENO6NHXMPHG6 · pith_short_8: N4HTENO6

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/N4HTENO6NHXMPHG6SVMRU7VWFR \
  | 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: 6f0f3235de69eec79cde95591a7eb62c6361adc7fcc93e5c6cb8b1ceadb0712c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d20da21103e5bd81ae69f95c26c4ebf5310d9e9e7fe2f63a23691b52c0a55f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-03T05:04:01Z",
    "title_canon_sha256": "73927e3060e3356283daae3868f4a5d95b95760333318b56111255acacd4e70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0572",
    "kind": "arxiv",
    "version": 1
  }
}