Pith Number

pith:LDXFUKXD

pith:2015:LDXFUKXDT7IHYGDKZGMXEJEMJH

not attested not anchored not stored refs pending

Excluding a full grid minor

Karl Heuer

arxiv:1510.03599 v2 · 2015-10-13 · 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{LDXFUKXDT7IHYGDKZGMXEJEMJH}

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	2026-05-17T23:59:04.003953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ee5a2ae39fd07c186ac99972248c49fa2be06d06d29a0e5d23cded8ed91b6f

Aliases

arxiv: 1510.03599 · arxiv_version: 1510.03599v2 · doi: 10.48550/arxiv.1510.03599 · pith_short_12: LDXFUKXDT7IH · pith_short_16: LDXFUKXDT7IHYGDK · pith_short_8: LDXFUKXD

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/LDXFUKXDT7IHYGDKZGMXEJEMJH \
  | 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: 58ee5a2ae39fd07c186ac99972248c49fa2be06d06d29a0e5d23cded8ed91b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd5ac32e2243b06ba5311ac24d9bcd23345440787261baf32cacd7b4123ac17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-13T09:47:29Z",
    "title_canon_sha256": "3ef507274681bb6b93a8382f66f33cb5e797f17f11a241e5fe5a80fc123091c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03599",
    "kind": "arxiv",
    "version": 2
  }
}