Pith Number

pith:4WBLS7AH

pith:2017:4WBLS7AHLNPCEHPB7P7GHAYLLE

not attested not anchored not stored refs pending

Convex functional and the stratification of the singular set of their stationary points

Zahra Sinaei

arxiv:1708.05648 v1 · 2017-08-18 · 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{4WBLS7AHLNPCEHPB7P7GHAYLLE}

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	2026-05-18T00:37:49.409605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e582b97c075b5e221de1fbfe63830b59060f3d6c68904ba2c939e6e22fedfc01

Aliases

arxiv: 1708.05648 · arxiv_version: 1708.05648v1 · doi: 10.48550/arxiv.1708.05648 · pith_short_12: 4WBLS7AHLNPC · pith_short_16: 4WBLS7AHLNPCEHPB · pith_short_8: 4WBLS7AH

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/4WBLS7AHLNPCEHPB7P7GHAYLLE \
  | 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: e582b97c075b5e221de1fbfe63830b59060f3d6c68904ba2c939e6e22fedfc01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea1fd01431137d73e266d59af4cd7484c0aef4143d81320b7d6a11d5be776fa",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-18T15:27:14Z",
    "title_canon_sha256": "86df1bd8a46366c6b09f99ad7ba25046bac96fc47b5ecf0c045cd7bbf2982c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05648",
    "kind": "arxiv",
    "version": 1
  }
}