Pith Number

pith:PCYGUIOM

pith:2013:PCYGUIOMBFQX5NN4KKBVI3OGU3

not attested not anchored not stored refs pending

Positively oriented matroids are realizable

Federico Ardila, Felipe Rinc\'on, Lauren Williams

arxiv:1310.4159 v3 · 2013-10-15 · 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{PCYGUIOMBFQX5NN4KKBVI3OGU3}

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	2026-05-18T03:08:06.489226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b06a21cc09617eb5bc5283546dc6a6e87a60cdea823455420167969cf0782a

Aliases

arxiv: 1310.4159 · arxiv_version: 1310.4159v3 · doi: 10.48550/arxiv.1310.4159 · pith_short_12: PCYGUIOMBFQX · pith_short_16: PCYGUIOMBFQX5NN4 · pith_short_8: PCYGUIOM

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/PCYGUIOMBFQX5NN4KKBVI3OGU3 \
  | 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: 78b06a21cc09617eb5bc5283546dc6a6e87a60cdea823455420167969cf0782a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b41d1a53d6766ac009c9b3c0139507c532577b1c73bf9dc19e0ceb25bfc174",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-15T19:35:10Z",
    "title_canon_sha256": "e9af9ee6578ec09b025b0577ddd8f707fe7ded15f5c525c99803097420728a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4159",
    "kind": "arxiv",
    "version": 3
  }
}