Pith Number

pith:DNQCLKSL

pith:2006:DNQCLKSLQOKS4NCGEQ4J5BD7MX

not attested not anchored not stored refs pending

G_2 and the "Rolling Distribution"

Gil Bor (CIMAT), Richard Montgomery (University of California, Santa Cruz)

arxiv:math/0612469 v1 · 2006-12-18 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNQCLKSLQOKS4NCGEQ4J5BD7MX}

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.

Cited by

1 paper in Pith

On certain classes of $Sp(2,R)$ symmetric $G_2$ structures

Receipt and verification

First computed	2026-07-04T15:52:44.559875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b6025aa4b83952e344624389e847f65f328280fd7f059ff81382a31d0ad6728

Aliases

arxiv: math/0612469 · arxiv_version: math/0612469v1 · doi: 10.48550/arxiv.math/0612469 · pith_short_12: DNQCLKSLQOKS · pith_short_16: DNQCLKSLQOKS4NCG · pith_short_8: DNQCLKSL

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/DNQCLKSLQOKS4NCGEQ4J5BD7MX \
  | 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: 1b6025aa4b83952e344624389e847f65f328280fd7f059ff81382a31d0ad6728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35960094804c1344f73c5c65570262cacf718557e43f96e24a34cbf75f09a498",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-18T05:00:15Z",
    "title_canon_sha256": "7fb245a62e709d8094e07afe19eb950619f7a9fc2f3a6f7a9d679e13932c1c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612469",
    "kind": "arxiv",
    "version": 1
  }
}