Pith Number

pith:EWIKFEAO

pith:2016:EWIKFEAOWUSIPDF7M3VE6GDSK2

not attested not anchored not stored refs pending

On the entropy of closed hypersurfaces and singular self-shrinkers

Jonathan J. Zhu

arxiv:1607.07760 v1 · 2016-07-26 · 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{EWIKFEAOWUSIPDF7M3VE6GDSK2}

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	2026-05-18T01:10:25.340083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2590a2900eb524878cbf66ea4f187256b68e1bceb2e1f783fc4f1c42c6bb440b

Aliases

arxiv: 1607.07760 · arxiv_version: 1607.07760v1 · doi: 10.48550/arxiv.1607.07760 · pith_short_12: EWIKFEAOWUSI · pith_short_16: EWIKFEAOWUSIPDF7 · pith_short_8: EWIKFEAO

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/EWIKFEAOWUSIPDF7M3VE6GDSK2 \
  | 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: 2590a2900eb524878cbf66ea4f187256b68e1bceb2e1f783fc4f1c42c6bb440b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7df43163bbd2fd319a5203ae1894adcf9040d2daa0c49d3beab695627a2819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-26T15:44:09Z",
    "title_canon_sha256": "df37f74cd4a41f5653250eb14644154564fb2afaf6130c96d5777f3aed3b9212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07760",
    "kind": "arxiv",
    "version": 1
  }
}