Pith Number

pith:HAYJQYHL

pith:2023:HAYJQYHLSW7JF2CM4LIYN7HKH7

not attested not anchored not stored refs pending

The excluded minors for GF(5)-representable matroids on ten elements

Nick Brettell

arxiv:2307.14614 v2 · 2023-07-27 · 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{HAYJQYHLSW7JF2CM4LIYN7HKH7}

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	2026-07-05T10:49:42.521985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38309860eb95be92e84ce2d186fcea3ff5277b43657ed3b23107817800cefcdb

Aliases

arxiv: 2307.14614 · arxiv_version: 2307.14614v2 · doi: 10.48550/arxiv.2307.14614 · pith_short_12: HAYJQYHLSW7J · pith_short_16: HAYJQYHLSW7JF2CM · pith_short_8: HAYJQYHL

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/HAYJQYHLSW7JF2CM4LIYN7HKH7 \
  | 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: 38309860eb95be92e84ce2d186fcea3ff5277b43657ed3b23107817800cefcdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b07b33a393ea7f52d98a0b2e6cdd40d2cd1db4355e8efecedf4e63b5dafe40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-27T04:02:08Z",
    "title_canon_sha256": "b17e5447b15b121af6491787beab222658fd57ea37c5580bf2be27628b578ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.14614",
    "kind": "arxiv",
    "version": 2
  }
}