Pith Number

pith:TM4TMB7D

pith:2009:TM4TMB7D3ALP2L2A5OPBKZF46G

not attested not anchored not stored refs pending

$_3F_2$ hypergeometric series and periods of elliptic curves

Dermot McCarthy

arxiv:0906.4508 v1 · 2009-06-24 · 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{TM4TMB7D3ALP2L2A5OPBKZF46G}

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	2026-05-18T03:58:25.095650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b393607e3d816fd2f40eb9e1564bcf18713253b1af9a125679554dd2d11bf59

Aliases

arxiv: 0906.4508 · arxiv_version: 0906.4508v1 · doi: 10.48550/arxiv.0906.4508 · pith_short_12: TM4TMB7D3ALP · pith_short_16: TM4TMB7D3ALP2L2A · pith_short_8: TM4TMB7D

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/TM4TMB7D3ALP2L2A5OPBKZF46G \
  | 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: 9b393607e3d816fd2f40eb9e1564bcf18713253b1af9a125679554dd2d11bf59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60473d3a5690bdf2223bc024e2db1210d66d4f8a949bdf39ff6afce9c1a4d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-06-24T16:01:18Z",
    "title_canon_sha256": "7cbb85ea082c8aa0743456d21fec930c9b6a9e055db7dd3148f93e69eb239bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4508",
    "kind": "arxiv",
    "version": 1
  }
}