Pith Number

pith:VTI3PDUL

pith:2011:VTI3PDULYDZ5DKSBLDDPVOB5QG

not attested not anchored not stored refs pending

Combinatorial Bounds on Nonnegative Rank and Extended Formulations

Dirk Oliver Theis, Kanstantsin Pashkovich, Samuel Fiorini, Volker Kaibel

arxiv:1111.0444 v2 · 2011-11-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTI3PDULYDZ5DKSBLDDPVOB5QG}

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	2026-05-18T03:51:35.722542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd1b78e8bc0f3d1aa4158c6fab83d81aafe0ad4a3c284392d74bd667af97029

Aliases

arxiv: 1111.0444 · arxiv_version: 1111.0444v2 · doi: 10.48550/arxiv.1111.0444 · pith_short_12: VTI3PDULYDZ5 · pith_short_16: VTI3PDULYDZ5DKSB · pith_short_8: VTI3PDUL

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/VTI3PDULYDZ5DKSBLDDPVOB5QG \
  | 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: acd1b78e8bc0f3d1aa4158c6fab83d81aafe0ad4a3c284392d74bd667af97029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ffd874afca20d1b687c03d796a097e1f761cb62942d605cb9a099325608d0b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-02T09:51:46Z",
    "title_canon_sha256": "d88d272a08496a8c6ed8615c82be967fa67e101ec0257327e12ed284fdbe05b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0444",
    "kind": "arxiv",
    "version": 2
  }
}