Pith Number

pith:7BKBBPAQ

pith:2012:7BKBBPAQVNCLD53CVRQK3UQ2AS

not attested not anchored not stored refs pending

Telescopers for Rational and Algebraic Functions via Residues

Manuel Kauers, Michael F. Singer, Shaoshi Chen

arxiv:1201.1954 v2 · 2012-01-10 · cs.SC · math.AG · 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{7BKBBPAQVNCLD53CVRQK3UQ2AS}

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	2026-05-18T04:04:52.935979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85410bc10ab44b1f762ac60add21a04a67ebf030618bf84642d71d443191af4

Aliases

arxiv: 1201.1954 · arxiv_version: 1201.1954v2 · doi: 10.48550/arxiv.1201.1954 · pith_short_12: 7BKBBPAQVNCL · pith_short_16: 7BKBBPAQVNCLD53C · pith_short_8: 7BKBBPAQ

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/7BKBBPAQVNCLD53CVRQK3UQ2AS \
  | 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: f85410bc10ab44b1f762ac60add21a04a67ebf030618bf84642d71d443191af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eebc17b6a1b95e7360e54c02bfc91443ef80e2f560e826f29a7cbf4541fed42",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2012-01-10T02:23:14Z",
    "title_canon_sha256": "0b57ab71c09e29ee507267b6b9c5dcc383425e24779b90ec83b954311295b203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1954",
    "kind": "arxiv",
    "version": 2
  }
}