Pith Number

pith:VWQBHCXQ

pith:2015:VWQBHCXQU7M6LLKYDRJ7FCVH2K

not attested not anchored not stored refs pending

Graphs on 21 edges that are not 2--apex

Jamison Barsotti, Thomas W. Mattman

arxiv:1506.06789 v1 · 2015-06-22 · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWQBHCXQU7M6LLKYDRJ7FCVH2K}

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	2026-05-18T01:10:10.518233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada0138af0a7d9e5ad581c53f28aa7d29eb5e4fb17fcd6d182b015c38ce45e32

Aliases

arxiv: 1506.06789 · arxiv_version: 1506.06789v1 · doi: 10.48550/arxiv.1506.06789 · pith_short_12: VWQBHCXQU7M6 · pith_short_16: VWQBHCXQU7M6LLKY · pith_short_8: VWQBHCXQ

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/VWQBHCXQU7M6LLKYDRJ7FCVH2K \
  | 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: ada0138af0a7d9e5ad581c53f28aa7d29eb5e4fb17fcd6d182b015c38ce45e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca16f89bbc6645faa3bfbd7c19d5754ece3c5fc989d4acfbd27daf3faae1f76",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-22T21:00:25Z",
    "title_canon_sha256": "40bb98099e0cea290924c9b39edd765835b2ef2fca5989ee93499bb6acacfd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06789",
    "kind": "arxiv",
    "version": 1
  }
}