Pith Number

pith:V2DVR2UO

pith:2015:V2DVR2UOMZMJGFOGAWYYGJFCDO

not attested not anchored not stored refs pending

An algebraic approach to enumerating non-equivalent double traces in graphs

Drago Bokal, Jernej Rus, Nino Ba\v{s}i\'c, Tomas Boothby

arxiv:1511.09464 v2 · 2015-11-30 · 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{V2DVR2UOMZMJGFOGAWYYGJFCDO}

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	2026-05-18T00:07:19.102204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8758ea8e66589315c605b18324a21bba2b4393a215149bd9a3125c6d5ebdf6

Aliases

arxiv: 1511.09464 · arxiv_version: 1511.09464v2 · doi: 10.48550/arxiv.1511.09464 · pith_short_12: V2DVR2UOMZMJ · pith_short_16: V2DVR2UOMZMJGFOG · pith_short_8: V2DVR2UO

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/V2DVR2UOMZMJGFOGAWYYGJFCDO \
  | 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: ae8758ea8e66589315c605b18324a21bba2b4393a215149bd9a3125c6d5ebdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba90b87c12e78a044c6cf645763fa06f907eb4a13dbbe7ee6f17a80f976ba86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-30T20:43:06Z",
    "title_canon_sha256": "958c106156c2d349aa4317fde8ef44c1a52eee4abe723c3e560246747e123ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09464",
    "kind": "arxiv",
    "version": 2
  }
}