Pith Number

pith:NGZKXOXT

pith:2012:NGZKXOXTY32OIQ6BW6NLIGPYFM

not attested not anchored not stored refs pending

A Bernstein type theorem for graphic self-shrinkers with flat normal bundle

Yong Luo

arxiv:1204.4057 v1 · 2012-04-18 · 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{NGZKXOXTY32OIQ6BW6NLIGPYFM}

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	2026-05-18T03:57:37.846596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b2abbaf3c6f4e443c1b79ab419f82b1c5a1092c7a03b59d6781e7bd109bdd5

Aliases

arxiv: 1204.4057 · arxiv_version: 1204.4057v1 · doi: 10.48550/arxiv.1204.4057 · pith_short_12: NGZKXOXTY32O · pith_short_16: NGZKXOXTY32OIQ6B · pith_short_8: NGZKXOXT

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/NGZKXOXTY32OIQ6BW6NLIGPYFM \
  | 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: 69b2abbaf3c6f4e443c1b79ab419f82b1c5a1092c7a03b59d6781e7bd109bdd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a6fa1264b1237224f547e37c59552b1f845baf24256845e8310bf4022624a1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-18T11:56:21Z",
    "title_canon_sha256": "f8a36283450d118b042ee91e765893246d80addef38270922e128453ef0985b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4057",
    "kind": "arxiv",
    "version": 1
  }
}