Pith Number

pith:YTWVPQZQ

pith:2017:YTWVPQZQ2EUMQSID3YI5LLL277

not attested not anchored not stored refs pending

A new pinching theorem for complete self-shrinkers and its generalization

Hongwei Xu, Li Lei, Zhiyuan Xu

arxiv:1712.01899 v1 · 2017-12-05 · 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{YTWVPQZQ2EUMQSID3YI5LLL277}

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	2026-05-18T00:28:39.789544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ed57c330d128c84903de11d5ad7affc695d343d4f2356566c219e5575c27e3

Aliases

arxiv: 1712.01899 · arxiv_version: 1712.01899v1 · doi: 10.48550/arxiv.1712.01899 · pith_short_12: YTWVPQZQ2EUM · pith_short_16: YTWVPQZQ2EUMQSID · pith_short_8: YTWVPQZQ

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/YTWVPQZQ2EUMQSID3YI5LLL277 \
  | 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: c4ed57c330d128c84903de11d5ad7affc695d343d4f2356566c219e5575c27e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d7fa61b4e2d409a6042d89f94d1bb15c193b3eb612e862cd91a0c029a1c495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-05T20:12:43Z",
    "title_canon_sha256": "8d1944877f27d73f8abcda204b374e8124d17aa6addb64dc166eb4a683e94d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01899",
    "kind": "arxiv",
    "version": 1
  }
}