Pith Number

pith:UCWZTBTU

pith:2016:UCWZTBTU2JQEV7YWFYGEHOW2CW

not attested not anchored not stored refs pending

Cycle bases of reduced powers of graphs

Gregory D. Smith, Richard H. Hammack

arxiv:1601.02896 v2 · 2016-01-12 · 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{UCWZTBTU2JQEV7YWFYGEHOW2CW}

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	2026-05-18T01:04:50.201908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ad998674d2604aff162e0c43bada15ae7304c36fb7a6f414fd877568641606

Aliases

arxiv: 1601.02896 · arxiv_version: 1601.02896v2 · doi: 10.48550/arxiv.1601.02896 · pith_short_12: UCWZTBTU2JQE · pith_short_16: UCWZTBTU2JQEV7YW · pith_short_8: UCWZTBTU

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/UCWZTBTU2JQEV7YWFYGEHOW2CW \
  | 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: a0ad998674d2604aff162e0c43bada15ae7304c36fb7a6f414fd877568641606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bf0a31c5c4483dfa0d3511765572f5474c932369628a935d1ca91063c51865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-12T15:08:52Z",
    "title_canon_sha256": "24a37a2716334eceb5197a990d233cbe27fe3c4fced1a1a128adf74e30e93653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02896",
    "kind": "arxiv",
    "version": 2
  }
}