Pith Number

pith:V5QX4CHQ

pith:2012:V5QX4CHQXJG2DNNQRMB3CMXQYO

not attested not anchored not stored refs pending

An excluded minors method for infinite matroids

Johannes Carmesin, Nathan Bowler

arxiv:1212.3939 v1 · 2012-12-17 · 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{V5QX4CHQXJG2DNNQRMB3CMXQYO}

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	2026-05-18T03:38:21.989406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af617e08f0ba4da1b5b08b03b132f0c3ace513b7fe530e34663fec148aa4c249

Aliases

arxiv: 1212.3939 · arxiv_version: 1212.3939v1 · doi: 10.48550/arxiv.1212.3939 · pith_short_12: V5QX4CHQXJG2 · pith_short_16: V5QX4CHQXJG2DNNQ · pith_short_8: V5QX4CHQ

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/V5QX4CHQXJG2DNNQRMB3CMXQYO \
  | 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: af617e08f0ba4da1b5b08b03b132f0c3ace513b7fe530e34663fec148aa4c249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfd82e289b56e6ef6f9ee295377b23018ab6d793e441e947a7f939af3d4b79e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-17T08:54:56Z",
    "title_canon_sha256": "f313551384ca9d7fe10743518f57257c69396b0634b1eb2315204bc6cb8c9dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3939",
    "kind": "arxiv",
    "version": 1
  }
}