Pith Number

pith:QUW3UQFE

pith:2015:QUW3UQFEH5JNWLFE3LFHQAUPUL

not attested not anchored not stored refs pending

Packing large trees of consecutive orders

Andrzej \.Zak

arxiv:1510.07467 v2 · 2015-10-26 · 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{QUW3UQFEH5JNWLFE3LFHQAUPUL}

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	2026-05-18T01:27:22.022812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

852dba40a43f52db2ca4daca78028fa2fb36de7c791b7a4ce7ae2c7fd96fcb8a

Aliases

arxiv: 1510.07467 · arxiv_version: 1510.07467v2 · doi: 10.48550/arxiv.1510.07467 · pith_short_12: QUW3UQFEH5JN · pith_short_16: QUW3UQFEH5JNWLFE · pith_short_8: QUW3UQFE

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/QUW3UQFEH5JNWLFE3LFHQAUPUL \
  | 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: 852dba40a43f52db2ca4daca78028fa2fb36de7c791b7a4ce7ae2c7fd96fcb8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5547942c28202474f3792a87767b02ea15e0325e453b13f4fe8f8f3bc0095e56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-26T13:17:09Z",
    "title_canon_sha256": "2f40b088c397e45ccd1858be02c20424b19e3befa9f13122fc5ad21f8750eafb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07467",
    "kind": "arxiv",
    "version": 2
  }
}