Pith Number

pith:3VZU2TSD

pith:2016:3VZU2TSDELR3T2JDUFIEUF7EOK

not attested not anchored not stored refs pending

On a function involving generalized complete $(p,q)$- elliptic integrals

Barkat Ali Bhayo, Li Yin

arxiv:1606.03621 v3 · 2016-06-11 · 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{3VZU2TSDELR3T2JDUFIEUF7EOK}

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	2026-05-17T23:57:33.159186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd734d4e4322e3b9e923a1504a17e472ac39a79a5faae50ecd50b098df4a2ed9

Aliases

arxiv: 1606.03621 · arxiv_version: 1606.03621v3 · doi: 10.48550/arxiv.1606.03621 · pith_short_12: 3VZU2TSDELR3 · pith_short_16: 3VZU2TSDELR3T2JD · pith_short_8: 3VZU2TSD

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/3VZU2TSDELR3T2JDUFIEUF7EOK \
  | 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: dd734d4e4322e3b9e923a1504a17e472ac39a79a5faae50ecd50b098df4a2ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05a3bbc67bfb40fec7534a1349cfb8ad9638b57bedea38cd818bd99aa78b249",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-11T20:29:53Z",
    "title_canon_sha256": "09ffcef96ba845a75c57634358e7fa3f98abb899fd79210556d5876b977d5362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03621",
    "kind": "arxiv",
    "version": 3
  }
}