Pith Number

pith:LT72HOJP

pith:2016:LT72HOJPFD3KYLD52VKJ247CY7

not attested not anchored not stored refs pending

Independent sets in polarity graphs

Craig Timmons, Michael Tait

arxiv:1601.05058 v1 · 2016-01-19 · 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{LT72HOJPFD3KYLD52VKJ247CY7}

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	2026-05-18T01:22:31.321207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cffa3b92f28f6ac2c7dd5549d73e2c7e90e1758934b4cf259b91a102dffef82

Aliases

arxiv: 1601.05058 · arxiv_version: 1601.05058v1 · doi: 10.48550/arxiv.1601.05058 · pith_short_12: LT72HOJPFD3K · pith_short_16: LT72HOJPFD3KYLD5 · pith_short_8: LT72HOJP

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/LT72HOJPFD3KYLD52VKJ247CY7 \
  | 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: 5cffa3b92f28f6ac2c7dd5549d73e2c7e90e1758934b4cf259b91a102dffef82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba20d060e9f333c2a0d2faead7ad3272f7d7417d2f0bdf89eec62c6175f81f45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-19T20:01:04Z",
    "title_canon_sha256": "8b069795b460589abc07470c6ab8eb87061c31a8c69da3e25d901132ba920b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05058",
    "kind": "arxiv",
    "version": 1
  }
}