Pith Number

pith:VDDZNIN6

pith:2010:VDDZNIN6NWEQYMN3II7BFWNIKM

not attested not anchored not stored refs pending

Minimal Surfaces in G2 Manifolds

Andrew Clarke

arxiv:1011.3084 v1 · 2010-11-13 · 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{VDDZNIN6NWEQYMN3II7BFWNIKM}

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	2026-05-18T04:35:56.537946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c796a1be6d890c31bb423e12d9a8530f84f4c7c73e01b7763fa90d5a7754c3

Aliases

arxiv: 1011.3084 · arxiv_version: 1011.3084v1 · doi: 10.48550/arxiv.1011.3084 · pith_short_12: VDDZNIN6NWEQ · pith_short_16: VDDZNIN6NWEQYMN3 · pith_short_8: VDDZNIN6

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/VDDZNIN6NWEQYMN3II7BFWNIKM \
  | 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: a8c796a1be6d890c31bb423e12d9a8530f84f4c7c73e01b7763fa90d5a7754c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7d6c86689b63264216faeb845b50350ed0e02835149d36792cb9713dfba803",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-13T01:07:44Z",
    "title_canon_sha256": "b92a95f761165a97141e13bfa22907bd9e9ca912418722da48e1f2340fb79a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3084",
    "kind": "arxiv",
    "version": 1
  }
}