Pith Number

pith:CC475V3Q

pith:2011:CC475V3QQBCDSUXRH6CPUDMH6C

not attested not anchored not stored refs pending

On exterior moduli of quadrilaterals and special functions

Matti Vuorinen, Xiaohui Zhang

arxiv:1111.3812 v4 · 2011-11-16 · 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{CC475V3QQBCDSUXRH6CPUDMH6C}

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	2026-05-18T03:28:17.692662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b9fed77080443952f13f84fa0d87f0a8fd11ea555643fbb8d2a2059059a6ad

Aliases

arxiv: 1111.3812 · arxiv_version: 1111.3812v4 · doi: 10.48550/arxiv.1111.3812 · pith_short_12: CC475V3QQBCD · pith_short_16: CC475V3QQBCDSUXR · pith_short_8: CC475V3Q

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/CC475V3QQBCDSUXRH6CPUDMH6C \
  | 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: 10b9fed77080443952f13f84fa0d87f0a8fd11ea555643fbb8d2a2059059a6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40757f67b2f415bfbc33481a9d0b8abc3512d7a2828882272f82219f115ce28",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-16T14:26:14Z",
    "title_canon_sha256": "15aa64ff5304597afd2b5447493e6bc332d77c0ceea941d330d4bc70311cd1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3812",
    "kind": "arxiv",
    "version": 4
  }
}