Pith Number

pith:UN6QTFFF

pith:2015:UN6QTFFFU5ED6QBSXBIHSCRETC

not attested not anchored not stored refs pending

A Stern-type congruence for the Schroder numbers

Hao Pan, Hui-Qin Cao

arxiv:1512.06310 v1 · 2015-12-20 · math.NT · 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{UN6QTFFFU5ED6QBSXBIHSCRETC}

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	2026-05-18T01:24:00.874549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37d0994a5a7483f4032b850790a2498b23ab9aac209924401985a5fecf346e1

Aliases

arxiv: 1512.06310 · arxiv_version: 1512.06310v1 · doi: 10.48550/arxiv.1512.06310 · pith_short_12: UN6QTFFFU5ED · pith_short_16: UN6QTFFFU5ED6QBS · pith_short_8: UN6QTFFF

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/UN6QTFFFU5ED6QBSXBIHSCRETC \
  | 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: a37d0994a5a7483f4032b850790a2498b23ab9aac209924401985a5fecf346e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1f3541840a1a2ada9256458572188da5846011b24f4ab6cb219d7819dc4af1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-20T02:53:22Z",
    "title_canon_sha256": "3cf5d9dbd538f00d21663f0bdac1d42d3f34efea11caa92ae68950344add6199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06310",
    "kind": "arxiv",
    "version": 1
  }
}