Pith Number

pith:XJ34E5D6

pith:2013:XJ34E5D674DUY5LMFCOIOVEAL4

not attested not anchored not stored refs pending

Fan-extensions in fragile matroids

Carolyn Chun, Deborah Chun, Dillon Mayhew, Stefan H. M. van Zwam

arxiv:1312.5401 v2 · 2013-12-19 · 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{XJ34E5D674DUY5LMFCOIOVEAL4}

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	2026-05-18T02:17:24.663230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba77c2747eff074c756c289c8754805f0c4049922ce6e53d34e9a24bcdd28ccb

Aliases

arxiv: 1312.5401 · arxiv_version: 1312.5401v2 · doi: 10.48550/arxiv.1312.5401 · pith_short_12: XJ34E5D674DU · pith_short_16: XJ34E5D674DUY5LM · pith_short_8: XJ34E5D6

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/XJ34E5D674DUY5LMFCOIOVEAL4 \
  | 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: ba77c2747eff074c756c289c8754805f0c4049922ce6e53d34e9a24bcdd28ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9154c4c837da1a98caeb629e411dcdc474e546a1a9fe95175d0560f121aff2e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-19T04:12:53Z",
    "title_canon_sha256": "e79bedb7af3df25d10358a1253dbc31d9623552e8a834bc802d603ac9e95e696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5401",
    "kind": "arxiv",
    "version": 2
  }
}