Pith Number

pith:I77QNZYH

pith:2012:I77QNZYHNHJQHKK6XSTS7UNBM2

not attested not anchored not stored refs pending

The Rigidity Theorems of Self Shrinkers via Gauss maps

Ling Yang, Qi Ding, Y. L. Xin

arxiv:1203.1096 v1 · 2012-03-06 · 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{I77QNZYHNHJQHKK6XSTS7UNBM2}

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	2026-05-18T04:00:48.822177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ff06e70769d303a95ebca72fd1a1669d00cca450c9976362c6044868367549

Aliases

arxiv: 1203.1096 · arxiv_version: 1203.1096v1 · doi: 10.48550/arxiv.1203.1096 · pith_short_12: I77QNZYHNHJQ · pith_short_16: I77QNZYHNHJQHKK6 · pith_short_8: I77QNZYH

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/I77QNZYHNHJQHKK6XSTS7UNBM2 \
  | 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: 47ff06e70769d303a95ebca72fd1a1669d00cca450c9976362c6044868367549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65568e313323c6861589e9faa51aa818ef2a46e4ac5b54cb09600ad1f4367646",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-06T04:15:49Z",
    "title_canon_sha256": "5cba52f33f07a342ea290b768cee7858b3d2eaeb9405ba3acccc05363dccaa5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1096",
    "kind": "arxiv",
    "version": 1
  }
}