Pith Number

pith:BECQ52NI

pith:2011:BECQ52NIBD3FNHBUIZGLUNF6EB

not attested not anchored not stored refs pending

The rigidity theorems of self shrinkers

Qi Ding, Y. L. Xin

arxiv:1105.4962 v1 · 2011-05-25 · 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{BECQ52NIBD3FNHBUIZGLUNF6EB}

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	2026-05-18T04:21:21.013026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09050ee9a808f6569c34464cba34be206dfeaafb3f6dcf4c6c5168c1a3f6d8fa

Aliases

arxiv: 1105.4962 · arxiv_version: 1105.4962v1 · doi: 10.48550/arxiv.1105.4962 · pith_short_12: BECQ52NIBD3F · pith_short_16: BECQ52NIBD3FNHBU · pith_short_8: BECQ52NI

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/BECQ52NIBD3FNHBUIZGLUNF6EB \
  | 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: 09050ee9a808f6569c34464cba34be206dfeaafb3f6dcf4c6c5168c1a3f6d8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0bd2cd2622a30d3a6081ff31cf1b25d47c8d15f4382105016b0b8461e7f32e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-25T08:18:31Z",
    "title_canon_sha256": "87aa9a175f154fa188173aa84c4c2a52ceacf696b6ba19df331b730e9cd0d9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4962",
    "kind": "arxiv",
    "version": 1
  }
}