Pith Number

pith:QL3FCRZX

pith:2018:QL3FCRZXTVEJIHUYISXKWER7ZP

not attested not anchored not stored refs pending

Suitable sets of permutations, packings of triples, and Ramsey's theorem

Xiande Zhang

arxiv:1808.03159 v1 · 2018-08-08 · 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{QL3FCRZXTVEJIHUYISXKWER7ZP}

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	2026-05-18T00:08:30.050060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f65147379d48941e9844aeab123fcbf7b5ccc59cb79dbca6114f43fd8a44c8

Aliases

arxiv: 1808.03159 · arxiv_version: 1808.03159v1 · doi: 10.48550/arxiv.1808.03159 · pith_short_12: QL3FCRZXTVEJ · pith_short_16: QL3FCRZXTVEJIHUY · pith_short_8: QL3FCRZX

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/QL3FCRZXTVEJIHUYISXKWER7ZP \
  | 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: 82f65147379d48941e9844aeab123fcbf7b5ccc59cb79dbca6114f43fd8a44c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2122f8051e4b5bb704e86974b709d86fb82039aa8de912dccc0417b1adee7b3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-08T05:50:46Z",
    "title_canon_sha256": "516cb5bc76fec7236b003bf0ce9f3bf2cd1607ae6a8cbe7e319bd707dbf3a0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03159",
    "kind": "arxiv",
    "version": 1
  }
}