Pith Number

pith:TIROT4KB

pith:2015:TIROT4KBI6KVLZ225PK7C6QO3N

not attested not anchored not stored refs pending

A derivation of two transformation formulas contiguous to that of Kummer's second theorem via a differential equation approach

A. K. Rathie, R. B. Paris, S. Kodavanji

arxiv:1501.06173 v1 · 2015-01-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIROT4KBI6KVLZ225PK7C6QO3N}

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	2026-05-18T02:28:42.155285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a22e9f141479555e75aebd5f17a0edb7eedfe9c71f8bda75c751090f4c8cbf7

Aliases

arxiv: 1501.06173 · arxiv_version: 1501.06173v1 · doi: 10.48550/arxiv.1501.06173 · pith_short_12: TIROT4KBI6KV · pith_short_16: TIROT4KBI6KVLZ22 · pith_short_8: TIROT4KB

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/TIROT4KBI6KVLZ225PK7C6QO3N \
  | 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: 9a22e9f141479555e75aebd5f17a0edb7eedfe9c71f8bda75c751090f4c8cbf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709fb61a1735e0670874d6ecd5bfd2b8e0216a459def104f6dc094c7199f3f7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-25T15:48:35Z",
    "title_canon_sha256": "dc055d1fa06b4c36d70fe3d51feb46a72c6b3b3dc53514cd58b56b8f01a6bdbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06173",
    "kind": "arxiv",
    "version": 1
  }
}