Pith Number

pith:HA4U6KGU

pith:2010:HA4U6KGUMC4ZU2FOOYUCHFXYNA

not attested not anchored not stored refs pending

Quadrature rules and distribution of points on manifolds

Christine Choirat, Giacomo Gigante, Giancarlo Travaglini, Leonardo Colzani, Luca Brandolini, Raffaello Seri

arxiv:1012.5409 v1 · 2010-12-24 · 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{HA4U6KGUMC4ZU2FOOYUCHFXYNA}

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	2026-05-18T04:32:34.960274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38394f28d460b99a68ae76282396f8680feb9dcacddacc31cc4a008bb08b4490

Aliases

arxiv: 1012.5409 · arxiv_version: 1012.5409v1 · doi: 10.48550/arxiv.1012.5409 · pith_short_12: HA4U6KGUMC4Z · pith_short_16: HA4U6KGUMC4ZU2FO · pith_short_8: HA4U6KGU

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/HA4U6KGUMC4ZU2FOOYUCHFXYNA \
  | 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: 38394f28d460b99a68ae76282396f8680feb9dcacddacc31cc4a008bb08b4490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99a28f62db92b4f03335e863e27fb5257af74eab416608e2d0cd46fb8fa05c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-24T16:41:57Z",
    "title_canon_sha256": "4b43f96d5e7df69d0bc7b4e19812d78b910a0145fe740f6839bd2f2713fe3a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5409",
    "kind": "arxiv",
    "version": 1
  }
}