Pith Number

pith:QQ5EE6MX

pith:2011:QQ5EE6MXEPAFNTUYHHLEDZSI7V

not attested not anchored not stored refs pending

Uniqueness of Self-similar Shrinkers with Asymptotically Conical Ends

Lu Wang

arxiv:1110.0450 v1 · 2011-10-03 · 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{QQ5EE6MXEPAFNTUYHHLEDZSI7V}

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	2026-05-18T04:11:49.900662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843a42799723c056ce9839d641e648fd730319a217527370b55f5fa740b9d6a5

Aliases

arxiv: 1110.0450 · arxiv_version: 1110.0450v1 · doi: 10.48550/arxiv.1110.0450 · pith_short_12: QQ5EE6MXEPAF · pith_short_16: QQ5EE6MXEPAFNTUY · pith_short_8: QQ5EE6MX

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/QQ5EE6MXEPAFNTUYHHLEDZSI7V \
  | 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: 843a42799723c056ce9839d641e648fd730319a217527370b55f5fa740b9d6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43648c6d4e092131a16024ee6eee95125563a91d87fe22c9fe90dd0a56d05ee",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-03T19:31:54Z",
    "title_canon_sha256": "23ac06061838430bed69171fed06d7f4c50b4154d29255aaacc674a7ca9081f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0450",
    "kind": "arxiv",
    "version": 1
  }
}