Pith Number

pith:44OQP2ST

pith:2019:44OQP2STIRWKQTW3KZ3JKYE6WZ

not attested not anchored not stored refs pending

On integrality properties of hypergeometric series

Alan Adolphson, Steven Sperber

arxiv:1905.03235 v1 · 2019-05-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44OQP2STIRWKQTW3KZ3JKYE6WZ}

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	2026-05-17T23:46:42.479259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71d07ea53446ca84edb567695609eb65c3e9e4a5fa5921ae80f2c2d62be82bd

Aliases

arxiv: 1905.03235 · arxiv_version: 1905.03235v1 · doi: 10.48550/arxiv.1905.03235 · pith_short_12: 44OQP2STIRWK · pith_short_16: 44OQP2STIRWKQTW3 · pith_short_8: 44OQP2ST

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/44OQP2STIRWKQTW3KZ3JKYE6WZ \
  | 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: e71d07ea53446ca84edb567695609eb65c3e9e4a5fa5921ae80f2c2d62be82bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9508ad3302710c9138a37c552a0ef94d86d929fd0af7b910ef17625b2144e7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-08T17:46:41Z",
    "title_canon_sha256": "242b542fd1ae0a2e18178f463f057d3970bc43581f7c86f0020ad4a351a51e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03235",
    "kind": "arxiv",
    "version": 1
  }
}