Pith Number

pith:GJQSZ5ID

pith:2016:GJQSZ5IDA4KYXIY4PYAGG25HUZ

not attested not anchored not stored refs pending

Tuenter polynomials and a Catalan triangle

Andrei K. Svinin

arxiv:1603.05748 v2 · 2016-03-18 · 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{GJQSZ5IDA4KYXIY4PYAGG25HUZ}

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	2026-05-18T01:12:29.750146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32612cf50307158ba31c7e00636ba7a668e72d1f35844685cb516df93150946c

Aliases

arxiv: 1603.05748 · arxiv_version: 1603.05748v2 · doi: 10.48550/arxiv.1603.05748 · pith_short_12: GJQSZ5IDA4KY · pith_short_16: GJQSZ5IDA4KYXIY4 · pith_short_8: GJQSZ5ID

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/GJQSZ5IDA4KYXIY4PYAGG25HUZ \
  | 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: 32612cf50307158ba31c7e00636ba7a668e72d1f35844685cb516df93150946c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260ecfcd0ad0b5adb385366ede383653dba0e24f50b272e7b02760d3b9fa35ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-18T01:55:54Z",
    "title_canon_sha256": "3e1ff211a9e797b4690058b6b88c575095a8ef468b4f1bb2ff4f5c4d2637d2d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05748",
    "kind": "arxiv",
    "version": 2
  }
}