Pith Number

pith:JH7FO2BJ

pith:2016:JH7FO2BJWIHQUCCVYJGSCRQXNW

not attested not anchored not stored refs pending

Revisiting a Nice Cycle Lemma and its Consequences

J. P. Hutchinson, M. O. Albertson, R. B. Richter

arxiv:1602.06985 v3 · 2016-02-22 · 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{JH7FO2BJWIHQUCCVYJGSCRQXNW}

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	2026-05-18T01:15:22.624365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49fe576829b20f0a0855c24d2146176da0b546b850b743afbb4bc5b9dc7bd1cb

Aliases

arxiv: 1602.06985 · arxiv_version: 1602.06985v3 · doi: 10.48550/arxiv.1602.06985 · pith_short_12: JH7FO2BJWIHQ · pith_short_16: JH7FO2BJWIHQUCCV · pith_short_8: JH7FO2BJ

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/JH7FO2BJWIHQUCCVYJGSCRQXNW \
  | 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: 49fe576829b20f0a0855c24d2146176da0b546b850b743afbb4bc5b9dc7bd1cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fea3f2cdaa64f84bb8f88a097909215193d9778e91e09eeea01643c0f91ef2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-22T22:32:33Z",
    "title_canon_sha256": "9c7d8d74444da7332c703df247c0c8ce48d76eeb9840348c82eaeb6d2ba23ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06985",
    "kind": "arxiv",
    "version": 3
  }
}