Pith Number

pith:O27K77LO

pith:2018:O27K77LO2VOSHA6XBIUC62JKGN

not attested not anchored not stored refs pending

Independence Equivalence Classes of Paths and Cycles

Ben Cameron, Iain Beaton, Jason I. Brown

arxiv:1810.05317 v1 · 2018-10-12 · 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{O27K77LO2VOSHA6XBIUC62JKGN}

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	2026-05-18T00:03:31.013059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76beaffd6ed55d2383d70a282f692a3373481b7aadb52201edd6219f4ef0b927

Aliases

arxiv: 1810.05317 · arxiv_version: 1810.05317v1 · doi: 10.48550/arxiv.1810.05317 · pith_short_12: O27K77LO2VOS · pith_short_16: O27K77LO2VOSHA6X · pith_short_8: O27K77LO

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/O27K77LO2VOSHA6XBIUC62JKGN \
  | 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: 76beaffd6ed55d2383d70a282f692a3373481b7aadb52201edd6219f4ef0b927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac5f12fbc88d4d27ebaa335d13c557aa1718230c02fcd27b3ab5e2d8eb23e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-12T02:07:45Z",
    "title_canon_sha256": "2563dde338214ac9a5627097a6e030fc64d8f7f71b1dbe87456384354f8e2f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05317",
    "kind": "arxiv",
    "version": 1
  }
}