Pith Number

pith:PENO5B5Z

pith:2022:PENO5B5ZDYLHQJRES2MFNXJMJ4

not attested not anchored not stored refs pending

Hamilton's Theorem (on the compactness of pinched hypersurfaces) via mean curvature flow

Mat Langford, Stephen Lynch, Theodora Bourni

arxiv:2211.12639 v1 · 2022-11-22 · 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{PENO5B5ZDYLHQJRES2MFNXJMJ4}

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	2026-07-05T05:18:53.188134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791aee87b91e16782624969856dd2c4f2b03f76ea1313a1c0723ce99f690bbda

Aliases

arxiv: 2211.12639 · arxiv_version: 2211.12639v1 · doi: 10.48550/arxiv.2211.12639 · pith_short_12: PENO5B5ZDYLH · pith_short_16: PENO5B5ZDYLHQJRE · pith_short_8: PENO5B5Z

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/PENO5B5ZDYLHQJRES2MFNXJMJ4 \
  | 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: 791aee87b91e16782624969856dd2c4f2b03f76ea1313a1c0723ce99f690bbda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71a1960dae10b643078929b34cb88e8a0c0309c4c9ba4434560366285e1e42e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-11-22T23:55:11Z",
    "title_canon_sha256": "290a9236ea2cc1ab26c10b3a0c78a8b1b2db4ae2fbfca714e97908e817e7d81c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12639",
    "kind": "arxiv",
    "version": 1
  }
}