Pith Number

pith:2F6BTSMB

pith:2018:2F6BTSMBKKJNKVBH36RD24FX3M

not attested not anchored not stored refs pending

An explicit formula for the distance characteristic polynomial of threshold graphs

Fernando C. Tura, Joao Lazzarin, Oscar F. Marquez

arxiv:1811.03061 v1 · 2018-11-07 · 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{2F6BTSMBKKJNKVBH36RD24FX3M}

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	2026-05-18T00:01:20.033018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17c19c9815292d55427dfa23d70b7db1ef23ae31bb57cba93ca1922420f2837

Aliases

arxiv: 1811.03061 · arxiv_version: 1811.03061v1 · doi: 10.48550/arxiv.1811.03061 · pith_short_12: 2F6BTSMBKKJN · pith_short_16: 2F6BTSMBKKJNKVBH · pith_short_8: 2F6BTSMB

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/2F6BTSMBKKJNKVBH36RD24FX3M \
  | 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: d17c19c9815292d55427dfa23d70b7db1ef23ae31bb57cba93ca1922420f2837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24f2f61bd52d7952748f6cde19a7fda2b565f63fe4c59f5fdfdbaa1b657b7249",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-07T18:22:46Z",
    "title_canon_sha256": "2b2d48259f33acfb76e9792e0a4b5f81720fe6147f131fed36ddbe42ef75e6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03061",
    "kind": "arxiv",
    "version": 1
  }
}