Pith Number

pith:4W4K2HTW

pith:2017:4W4K2HTWCY37NJT52YVV27YNC2

not attested not anchored not stored refs pending

The Graovac-Pisanski Index of Armchair Nanotubes

Niko Tratnik, Petra \v{Z}igert Pleter\v{s}ek

arxiv:1704.08474 v1 · 2017-04-27 · 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{4W4K2HTWCY37NJT52YVV27YNC2}

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	2026-05-18T00:07:18.701143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b8ad1e761637f6a67dd62b5d7f0d1685229bf9f750e053dfade36b3b26bd61

Aliases

arxiv: 1704.08474 · arxiv_version: 1704.08474v1 · doi: 10.48550/arxiv.1704.08474 · pith_short_12: 4W4K2HTWCY37 · pith_short_16: 4W4K2HTWCY37NJT5 · pith_short_8: 4W4K2HTW

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/4W4K2HTWCY37NJT52YVV27YNC2 \
  | 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: e5b8ad1e761637f6a67dd62b5d7f0d1685229bf9f750e053dfade36b3b26bd61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d10218c823c9f23a41982789c18f859b00e4578199a86914e742b160d26698a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-27T08:35:19Z",
    "title_canon_sha256": "f1670000de9202d4bd4314f9c4b4f8c6b3bf36fd21262613c8c84da3889c69c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08474",
    "kind": "arxiv",
    "version": 1
  }
}