Pith Number

pith:TVGU34IC

pith:2010:TVGU34ICKOQR2RHAJKJ4NXRPNX

not attested not anchored not stored refs pending

Proof of George Andrews's and David Robbins's q-TSPP Conjecture

Christoph Koutschan, Doron Zeilberger, Manuel Kauers

arxiv:1002.4384 v2 · 2010-02-23 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVGU34ICKOQR2RHAJKJ4NXRPNX}

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	2026-05-18T02:24:38.618457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d4d4df10253a11d44e04a93c6de2f6ddc7bd2b152a220752645ccc36e3c8d4c

Aliases

arxiv: 1002.4384 · arxiv_version: 1002.4384v2 · doi: 10.48550/arxiv.1002.4384 · pith_short_12: TVGU34ICKOQR · pith_short_16: TVGU34ICKOQR2RHA · pith_short_8: TVGU34IC

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/TVGU34ICKOQR2RHAJKJ4NXRPNX \
  | 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: 9d4d4df10253a11d44e04a93c6de2f6ddc7bd2b152a220752645ccc36e3c8d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8967cf52ca5bcef591f69c71d27b7155230d91670ebd2d89f2b1beae5fc8f0",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-23T18:09:17Z",
    "title_canon_sha256": "7aa65ea775304274ee4f6245deb1795eba380de4330c930af118ee6a7e1de78c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4384",
    "kind": "arxiv",
    "version": 2
  }
}