Pith Number

pith:OQHV3CEF

pith:2008:OQHV3CEFZQH5XKAUZTJ3QX32K7

not attested not anchored not stored refs pending

Integral geometry under $G_2$ and $Spin(7)$

Andreas Bernig

arxiv:0803.3885 v1 · 2008-03-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQHV3CEFZQH5XKAUZTJ3QX32K7}

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	2026-05-18T04:15:36.341922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740f5d8885cc0fdba814ccd3b85f7a57eaf102df93d7b685e2c9ea4d39858591

Aliases

arxiv: 0803.3885 · arxiv_version: 0803.3885v1 · doi: 10.48550/arxiv.0803.3885 · pith_short_12: OQHV3CEFZQH5 · pith_short_16: OQHV3CEFZQH5XKAU · pith_short_8: OQHV3CEF

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/OQHV3CEFZQH5XKAUZTJ3QX32K7 \
  | 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: 740f5d8885cc0fdba814ccd3b85f7a57eaf102df93d7b685e2c9ea4d39858591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65640b7c82061e67aa752ebb0a9657ffcb4a000c5bcb33ffc2865565b78fa8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-27T10:46:34Z",
    "title_canon_sha256": "cd7334a48d6ca7fbb253525c364c619c79e6fcdb328db8b92610fb35da1831dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3885",
    "kind": "arxiv",
    "version": 1
  }
}