Pith Number

pith:MOREBQ4S

pith:2009:MOREBQ4SJ44XUOKITNR5FJFCO7

not attested not anchored not stored refs pending

Nullity Invariance for Pivot and the Interlace Polynomial

Hendrik Jan Hoogeboom, Robert Brijder

arxiv:0912.0878 v3 · 2009-12-04 · cs.DM · 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{MOREBQ4SJ44XUOKITNR5FJFCO7}

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	2026-05-18T02:55:39.675213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a240c3924f397a39489b63d2a4a277fb5a8b2bf1407f2e16452ce79a44a3e1

Aliases

arxiv: 0912.0878 · arxiv_version: 0912.0878v3 · doi: 10.48550/arxiv.0912.0878 · pith_short_12: MOREBQ4SJ44X · pith_short_16: MOREBQ4SJ44XUOKI · pith_short_8: MOREBQ4S

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/MOREBQ4SJ44XUOKITNR5FJFCO7 \
  | 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: 63a240c3924f397a39489b63d2a4a277fb5a8b2bf1407f2e16452ce79a44a3e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d9ba0a22290dda6a8c8f32d0146c22646eba45d06da434073ffc14ad3c022b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-12-04T15:25:18Z",
    "title_canon_sha256": "da1e343327b5a000ceac512cc243a317209f70b3443154d25181a22aef5c77bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0878",
    "kind": "arxiv",
    "version": 3
  }
}