Pith Number

pith:VWBP5ILQ

pith:2014:VWBP5ILQMDRPWK4OAUNPQWAWJR

not attested not anchored not stored refs pending

Characterizing binary matroids with no $P_9$-minor

Guoli Ding, Haidong Wu

arxiv:1410.0954 v1 · 2014-10-03 · 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{VWBP5ILQMDRPWK4OAUNPQWAWJR}

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	2026-05-18T02:41:09.446718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad82fea17060e2fb2b8e051af858164c4f7215dd2e6b6f3d4ce8baaeebd5f4b9

Aliases

arxiv: 1410.0954 · arxiv_version: 1410.0954v1 · doi: 10.48550/arxiv.1410.0954 · pith_short_12: VWBP5ILQMDRP · pith_short_16: VWBP5ILQMDRPWK4O · pith_short_8: VWBP5ILQ

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/VWBP5ILQMDRPWK4OAUNPQWAWJR \
  | 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: ad82fea17060e2fb2b8e051af858164c4f7215dd2e6b6f3d4ce8baaeebd5f4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e596d6a1f55e1d0e76f24b8b8b3f5181e3c4eb41b149b61595710387b633dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-03T19:50:30Z",
    "title_canon_sha256": "96871420e7af1b86b3a8f19e77e35abeaadbf8d2489953bb0e2db678e434d0bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0954",
    "kind": "arxiv",
    "version": 1
  }
}