Pith Number

pith:OA5ENTTY

pith:2012:OA5ENTTYD35IL44NDF7VUKWK4X

not attested not anchored not stored refs pending

Residues and Telescopers for Rational Functions

Michael F. Singer, Shaoshi Chen

arxiv:1203.4200 v1 · 2012-03-19 · math.CO · cs.DM · 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{OA5ENTTYD35IL44NDF7VUKWK4X}

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	2026-05-18T03:59:48.122855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703a46ce781efa85f38d197f5a2acae5ff3db571e64ea41b60a78e7ff748b4e9

Aliases

arxiv: 1203.4200 · arxiv_version: 1203.4200v1 · doi: 10.48550/arxiv.1203.4200 · pith_short_12: OA5ENTTYD35I · pith_short_16: OA5ENTTYD35IL44N · pith_short_8: OA5ENTTY

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/OA5ENTTYD35IL44NDF7VUKWK4X \
  | 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: 703a46ce781efa85f38d197f5a2acae5ff3db571e64ea41b60a78e7ff748b4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44016536d8838dabdd1aa83ecc52da28fb94f78f5bd477b5715b73c3b192d034",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-19T18:56:35Z",
    "title_canon_sha256": "b008d843b2b2a84263023126f65fc05326eab94fc18146dab6e4ae5b6b11ad85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4200",
    "kind": "arxiv",
    "version": 1
  }
}