Pith Number

pith:L6Y7DOLM

pith:2010:L6Y7DOLMVPLUOKHTAAMSCUSOOW

not attested not anchored not stored refs pending

Self-shrinkers with a rotational symmetry

Niels Martin Moller, Stephen J. Kleene

arxiv:1008.1609 v2 · 2010-08-10 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6Y7DOLMVPLUOKHTAAMSCUSOOW}

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	2026-05-17T23:51:35.150890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fb1f1b96cabd74728f3001921524e75bdec3c5d7d9eae21ea9c4e4231901126

Aliases

arxiv: 1008.1609 · arxiv_version: 1008.1609v2 · doi: 10.48550/arxiv.1008.1609 · pith_short_12: L6Y7DOLMVPLU · pith_short_16: L6Y7DOLMVPLUOKHT · pith_short_8: L6Y7DOLM

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/L6Y7DOLMVPLUOKHTAAMSCUSOOW \
  | 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: 5fb1f1b96cabd74728f3001921524e75bdec3c5d7d9eae21ea9c4e4231901126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd74991e58c1d789a7c496a1a1eab975da340c730c8d9cacb9890a5b96c8dc8e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-10T00:49:31Z",
    "title_canon_sha256": "351a43d64cfda1b03e757211f6cbab59313c645ba711b8db53cfe263190fa8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1609",
    "kind": "arxiv",
    "version": 2
  }
}