Pith Number

pith:7ABWCRKV

pith:2007:7ABWCRKVKGVMJW4DGJRZVJHW5E

not attested not anchored not stored refs pending

Generalized Elliptic Integrals and the Legendre M-function

H. Lind\'en, M. K. Vamanamurthy, M. Vuorinen, V. Heikkala

arxiv:math/0701438 v2 · 2007-01-16 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ABWCRKVKGVMJW4DGJRZVJHW5E}

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	2026-05-18T01:38:23.366294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80361455551aac4db8332639aa4f6e91986d13f7a8aaf63980d4ca5c81bcfcc

Aliases

arxiv: math/0701438 · arxiv_version: math/0701438v2 · doi: 10.48550/arxiv.math/0701438 · pith_short_12: 7ABWCRKVKGVM · pith_short_16: 7ABWCRKVKGVMJW4D · pith_short_8: 7ABWCRKV

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/7ABWCRKVKGVMJW4DGJRZVJHW5E \
  | 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: f80361455551aac4db8332639aa4f6e91986d13f7a8aaf63980d4ca5c81bcfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71ab04bc9d1ccb28d233d72683a26690dd24b39f6aee410d1562fa51c6bd39e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-01-16T11:00:32Z",
    "title_canon_sha256": "bad812749958d56cd2ba3f3e4d73a240b2c1baba2f7c02101aa312db40011339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701438",
    "kind": "arxiv",
    "version": 2
  }
}