Pith Number

pith:XJOP3OTC

pith:2010:XJOP3OTCNT4OZRP27KHK3CBTRC

not attested not anchored not stored refs pending

Nullity and Loop Complementation for Delta-Matroids

Hendrik Jan Hoogeboom, Robert Brijder

arxiv:1010.4497 v5 · 2010-10-21 · 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{XJOP3OTCNT4OZRP27KHK3CBTRC}

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	2026-05-18T02:55:39.582489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5cfdba626cf8ecc5fafa8ead883388b18837fa85a6acd96bc5cc2d81598b81

Aliases

arxiv: 1010.4497 · arxiv_version: 1010.4497v5 · doi: 10.48550/arxiv.1010.4497 · pith_short_12: XJOP3OTCNT4O · pith_short_16: XJOP3OTCNT4OZRP2 · pith_short_8: XJOP3OTC

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/XJOP3OTCNT4OZRP27KHK3CBTRC \
  | 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: ba5cfdba626cf8ecc5fafa8ead883388b18837fa85a6acd96bc5cc2d81598b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9cac54b4bdb14645e1f091d5d1b5927d6399b40ebd6f7f5d2c912bffb1fdb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-21T15:27:33Z",
    "title_canon_sha256": "48a5ec10a1d218abeb8f45942f4758bdada826835d9f51d86b90373349630d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4497",
    "kind": "arxiv",
    "version": 5
  }
}