Pith Number

pith:7YR5DMMR

pith:2013:7YR5DMMRQPBBCZQ3RKUWAMGQBL

not attested not anchored not stored refs pending

Geometric juggling with q-analogues

Alexander Engstr\"om, Harri Varpanen, Lasse Leskel\"a

arxiv:1310.2725 v3 · 2013-10-10 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YR5DMMRQPBBCZQ3RKUWAMGQBL}

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	2026-05-18T02:26:01.068819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe23d1b19183c211661b8aa96030d00ad43e80bbc08e9699a702433140cf52c6

Aliases

arxiv: 1310.2725 · arxiv_version: 1310.2725v3 · doi: 10.48550/arxiv.1310.2725 · pith_short_12: 7YR5DMMRQPBB · pith_short_16: 7YR5DMMRQPBBCZQ3 · pith_short_8: 7YR5DMMR

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/7YR5DMMRQPBBCZQ3RKUWAMGQBL \
  | 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: fe23d1b19183c211661b8aa96030d00ad43e80bbc08e9699a702433140cf52c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c68ed2ecb8ad812391c1599559e583b3d3d719bd9d776bccbdce56b89cc0cd",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-10T07:41:38Z",
    "title_canon_sha256": "3187aa6d9ecbeae3653557c96a16d1f4befe29dbef0228d3f50b8a28ceed7664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2725",
    "kind": "arxiv",
    "version": 3
  }
}