Pith Number

pith:LCIZQDM6

pith:2022:LCIZQDM6GTXOUNKFQIYYSGD5JL

not attested not anchored not stored refs pending

Odd Covers of Graphs

Alexander Clifton, Calum Buchanan, Eric Culver, Jason O'Neill, Jiaxi Nie, Mei Yin, Puck Rombach

arxiv:2202.09822 v1 · 2022-02-20 · 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{LCIZQDM6GTXOUNKFQIYYSGD5JL}

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	2026-07-05T03:58:26.537661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5891980d9e34eeea3545823189187d4acecf436b044727ce0e384e7e7966e3e2

Aliases

arxiv: 2202.09822 · arxiv_version: 2202.09822v1 · doi: 10.48550/arxiv.2202.09822 · pith_short_12: LCIZQDM6GTXO · pith_short_16: LCIZQDM6GTXOUNKF · pith_short_8: LCIZQDM6

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/LCIZQDM6GTXOUNKFQIYYSGD5JL \
  | 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: 5891980d9e34eeea3545823189187d4acecf436b044727ce0e384e7e7966e3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367c6c419d0e3b7f3e9e153096930b6b897969482d0f5f9495772d4e089df81d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-20T14:15:02Z",
    "title_canon_sha256": "c0101fef00b8a63e95d751bc30334207700820125cb43c113eb6bda24fff296d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09822",
    "kind": "arxiv",
    "version": 1
  }
}