Pith Number

pith:NNJLAWIG

pith:2010:NNJLAWIG5ZBDLCUEU26EWXSINI

not attested not anchored not stored refs pending

On the size of dissociated bases

Raphael Yuster, Vsevolod F. Lev

arxiv:1005.0155 v1 · 2010-05-02 · 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{NNJLAWIG5ZBDLCUEU26EWXSINI}

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	2026-05-18T02:24:09.393942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b52b05906ee42358a84a6bc4b5e486a1216a73adac8bcaed76dd1c92f046a37

Aliases

arxiv: 1005.0155 · arxiv_version: 1005.0155v1 · doi: 10.48550/arxiv.1005.0155 · pith_short_12: NNJLAWIG5ZBD · pith_short_16: NNJLAWIG5ZBDLCUE · pith_short_8: NNJLAWIG

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/NNJLAWIG5ZBDLCUEU26EWXSINI \
  | 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: 6b52b05906ee42358a84a6bc4b5e486a1216a73adac8bcaed76dd1c92f046a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2202756fa91c8606df0e80441365574645dfc30aac3cd2e473fdbb3535bd60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-02T19:23:23Z",
    "title_canon_sha256": "8f2a683a8c35c95e9e8f06a640f8f1eeee55150de51d05d98e75bcc9fbeb0c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0155",
    "kind": "arxiv",
    "version": 1
  }
}