Pith Number

pith:LWGHRAJC

pith:2008:LWGHRAJC3QNJYTGL7OEULMIGHB

not attested not anchored not stored refs pending

On the G_2 bundle of a Riemannian 4-manifold

Rui Albuquerque

arxiv:0808.1714 v2 · 2008-08-12 · 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{LWGHRAJC3QNJYTGL7OEULMIGHB}

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	2026-05-18T04:06:21.312559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8c788122dc1a9c4ccbfb8945b106387b9869e19cb1662d521bd93feeaf3433

Aliases

arxiv: 0808.1714 · arxiv_version: 0808.1714v2 · doi: 10.48550/arxiv.0808.1714 · pith_short_12: LWGHRAJC3QNJ · pith_short_16: LWGHRAJC3QNJYTGL · pith_short_8: LWGHRAJC

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/LWGHRAJC3QNJYTGL7OEULMIGHB \
  | 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: 5d8c788122dc1a9c4ccbfb8945b106387b9869e19cb1662d521bd93feeaf3433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a31d097dc753cca3c20eac11e71a6706455ae69545ea8778c1401e75aacfd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-08-12T19:02:27Z",
    "title_canon_sha256": "bbf2c3f876e53fbbe51fc4cb9168d82e22bbd75d9e9171d0b302b6e8f2ae8912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1714",
    "kind": "arxiv",
    "version": 2
  }
}