Pith Number

pith:WRPHV55P

pith:2011:WRPHV55P2OGZ3VMXTKZKD5FX6J

not attested not anchored not stored refs pending

The adjacency matroid of a graph

Hendrik Jan Hoogeboom, Lorenzo Traldi, Robert Brijder

arxiv:1107.5493 v6 · 2011-07-27 · 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{WRPHV55P2OGZ3VMXTKZKD5FX6J}

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	2026-05-18T03:14:27.053073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45e7af7afd38d9dd5979ab2a1f4b7f2766c6b4233b5c702d92b56754d237111

Aliases

arxiv: 1107.5493 · arxiv_version: 1107.5493v6 · doi: 10.48550/arxiv.1107.5493 · pith_short_12: WRPHV55P2OGZ · pith_short_16: WRPHV55P2OGZ3VMX · pith_short_8: WRPHV55P

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/WRPHV55P2OGZ3VMXTKZKD5FX6J \
  | 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: b45e7af7afd38d9dd5979ab2a1f4b7f2766c6b4233b5c702d92b56754d237111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656429e1fbe699c016300788ba5f4f9a081e2b61e7e32b8b7189b5427fd28857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-27T14:46:15Z",
    "title_canon_sha256": "6056eb0c2cdc988bce4b17d7c59d58f1ecd5a3792902b59ddfa7ab7428a15630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5493",
    "kind": "arxiv",
    "version": 6
  }
}