Pith Number

pith:ZDXHK5NY

pith:2017:ZDXHK5NYQLZSV2NZ5PWDGDM3JY

not attested not anchored not stored refs pending

The expansion of the confluent hypergeometric function on the positive real axis

R B Paris

arxiv:1712.08371 v1 · 2017-12-22 · 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{ZDXHK5NYQLZSV2NZ5PWDGDM3JY}

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	2026-05-18T00:27:23.632832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ee7575b882f32ae9b9ebec330d9b4e118b1cdbe3ae152587c2f753db7456ed

Aliases

arxiv: 1712.08371 · arxiv_version: 1712.08371v1 · doi: 10.48550/arxiv.1712.08371 · pith_short_12: ZDXHK5NYQLZS · pith_short_16: ZDXHK5NYQLZSV2NZ · pith_short_8: ZDXHK5NY

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/ZDXHK5NYQLZSV2NZ5PWDGDM3JY \
  | 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: c8ee7575b882f32ae9b9ebec330d9b4e118b1cdbe3ae152587c2f753db7456ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb8433992f648d98dbc2f9cbc60faa52305c67704dfac68c4988048050926671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-22T09:52:48Z",
    "title_canon_sha256": "1dd661a06445f851b890b91b1969f0421cbb72a40bcba35b63a967514a8c3bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08371",
    "kind": "arxiv",
    "version": 1
  }
}