Pith Number

pith:XYZJ4TUA

pith:2014:XYZJ4TUAX4WUHK4H26VYJBQHZW

not attested not anchored not stored refs pending

Detecting minors in matroids through triangles

Boris Albar, Daniel Gon\c{c}alves, Jorge L. Ram\'irez Alfons\'in

arxiv:1412.4982 v1 · 2014-12-16 · 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{XYZJ4TUAX4WUHK4H26VYJBQHZW}

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	2026-05-18T02:31:09.957699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be329e4e80bf2d43ab87d7ab848607cd9b46d887e5663ac7ccd453aa065662ae

Aliases

arxiv: 1412.4982 · arxiv_version: 1412.4982v1 · doi: 10.48550/arxiv.1412.4982 · pith_short_12: XYZJ4TUAX4WU · pith_short_16: XYZJ4TUAX4WUHK4H · pith_short_8: XYZJ4TUA

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/XYZJ4TUAX4WUHK4H26VYJBQHZW \
  | 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: be329e4e80bf2d43ab87d7ab848607cd9b46d887e5663ac7ccd453aa065662ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f44b04751e03c14bad7808d5750926fb5c3e6a923daacf7d40b117d0593ac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-16T12:39:18Z",
    "title_canon_sha256": "78debafab7f8c21cf96c3458da0b93a130c6c80a7d1f62f2c7ede81694117856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4982",
    "kind": "arxiv",
    "version": 1
  }
}