Pith Number

pith:USRTLREY

pith:2022:USRTLREYCKDDTHZZPGOLA3L6O3

not attested not anchored not stored refs pending

Three-dimensional graph products with unbounded stack-number

David Eppstein, David R. Wood, Laura Merker, Micha{\l} T. Seweryn, Robert Hickingbotham, Sergey Norin

arxiv:2202.05327 v1 · 2022-02-10 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USRTLREYCKDDTHZZPGOLA3L6O3}

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	2026-07-05T08:09:22.128822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a335c4981286399f39799cb06d7e76d3834948a4283b80ece276dc037a887d

Aliases

arxiv: 2202.05327 · arxiv_version: 2202.05327v1 · doi: 10.48550/arxiv.2202.05327 · pith_short_12: USRTLREYCKDD · pith_short_16: USRTLREYCKDDTHZZ · pith_short_8: USRTLREY

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/USRTLREYCKDDTHZZPGOLA3L6O3 \
  | 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: a4a335c4981286399f39799cb06d7e76d3834948a4283b80ece276dc037a887d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33bc2bc4db1aa8ef3544c846cd7f4dc0ed5a52b9e21a17bace1329c24dcf6951",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-10T21:09:14Z",
    "title_canon_sha256": "5e95990652dc17dfde24ad51de7f6391f5a10899623660f6829fb8bd634e29e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05327",
    "kind": "arxiv",
    "version": 1
  }
}