Pith Number

pith:CSYR2GMB

pith:2012:CSYR2GMBVGS2LWUTOYX4D2S3PJ

not attested not anchored not stored refs pending

Exponential series without denominators

Jean-Louis Loday

arxiv:1201.5043 v1 · 2012-01-24 · math.RA · 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{CSYR2GMBVGS2LWUTOYX4D2S3PJ}

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	2026-05-18T04:03:56.431525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b11d1981a9a5a5da93762fc1ea5b7a7ff80f043c777d5114e5134acc783a0a

Aliases

arxiv: 1201.5043 · arxiv_version: 1201.5043v1 · doi: 10.48550/arxiv.1201.5043 · pith_short_12: CSYR2GMBVGS2 · pith_short_16: CSYR2GMBVGS2LWUT · pith_short_8: CSYR2GMB

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/CSYR2GMBVGS2LWUTOYX4D2S3PJ \
  | 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: 14b11d1981a9a5a5da93762fc1ea5b7a7ff80f043c777d5114e5134acc783a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64940fa2e483dbc31b2e377734574a601ea0cc6874b184fc35161b736d2076d4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-24T16:49:38Z",
    "title_canon_sha256": "00f97a657eef4f7bd4f37183fc55d85b540afd2ecf7d3b5367d4d760130d6b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5043",
    "kind": "arxiv",
    "version": 1
  }
}