Pith Number

pith:D4TM2SBS

pith:2013:D4TM2SBSAGZ7Z5OE4IH63T25EB

not attested not anchored not stored refs pending

On a representation of Humbert's double hypergeometric series in a series of Gauss's 2F1 function

Arjun K. Rathie

arxiv:1312.0064 v1 · 2013-11-30 · math.CV · 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{D4TM2SBSAGZ7Z5OE4IH63T25EB}

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	2026-05-18T00:56:53.432396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f26cd483201b3fcf5c4e20fedcf5d2047836a832e5153ebb8fb0960499a3eed

Aliases

arxiv: 1312.0064 · arxiv_version: 1312.0064v1 · doi: 10.48550/arxiv.1312.0064 · pith_short_12: D4TM2SBSAGZ7 · pith_short_16: D4TM2SBSAGZ7Z5OE · pith_short_8: D4TM2SBS

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/D4TM2SBSAGZ7Z5OE4IH63T25EB \
  | 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: 1f26cd483201b3fcf5c4e20fedcf5d2047836a832e5153ebb8fb0960499a3eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b545c11c1daaa62badb8965d96e5afeafaa17215f3190421bb52f6636030d9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-30T05:48:29Z",
    "title_canon_sha256": "d714b84161aed4865f33f2c8d127e0e0690c286044f48ef023ebd896ced56c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0064",
    "kind": "arxiv",
    "version": 1
  }
}