Pith Number

pith:VBSPDFGC

pith:2010:VBSPDFGCQXQKEUCRVJ2RORIT4F

not attested not anchored not stored refs pending

Separations of Matroid Freeness Properties

Arnab Bhattacharyya, Elena Grigorescu, Jakob Nordstr\"om, Ning Xie

arxiv:1008.4401 v2 · 2010-08-25 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBSPDFGCQXQKEUCRVJ2RORIT4F}

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	2026-05-18T04:41:44.651423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a864f194c285e0a25051aa75174513e158650c15c7f6f657e2760b5f470cd017

Aliases

arxiv: 1008.4401 · arxiv_version: 1008.4401v2 · doi: 10.48550/arxiv.1008.4401 · pith_short_12: VBSPDFGCQXQK · pith_short_16: VBSPDFGCQXQKEUCR · pith_short_8: VBSPDFGC

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/VBSPDFGCQXQKEUCRVJ2RORIT4F \
  | 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: a864f194c285e0a25051aa75174513e158650c15c7f6f657e2760b5f470cd017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a342230dc158f635d3468484462cfe0ce3fb8a5473d7de66a9de67938c206b21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-08-25T22:20:09Z",
    "title_canon_sha256": "a4f16f9d88023cfc08c4f32fb32e48148ff1dea05f847f2067cac94b9014558c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4401",
    "kind": "arxiv",
    "version": 2
  }
}