Pith Number

pith:QWHXULVL

pith:2017:QWHXULVLBOLCPR5P5YHHZMJYFM

not attested not anchored not stored refs pending

Regularity for Shape Optimizers: The Degenerate Case

Dennis Kriventsov, Fanghua Lin

arxiv:1710.00451 v2 · 2017-10-02 · 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{QWHXULVLBOLCPR5P5YHHZMJYFM}

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	2026-05-18T00:31:50.370152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858f7a2eab0b9627c7afee0e7cb1382b24ddb5a14c38b7dbcd45061d655bbc50

Aliases

arxiv: 1710.00451 · arxiv_version: 1710.00451v2 · doi: 10.48550/arxiv.1710.00451 · pith_short_12: QWHXULVLBOLC · pith_short_16: QWHXULVLBOLCPR5P · pith_short_8: QWHXULVL

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/QWHXULVLBOLCPR5P5YHHZMJYFM \
  | 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: 858f7a2eab0b9627c7afee0e7cb1382b24ddb5a14c38b7dbcd45061d655bbc50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c51a7b806076dcf88ba35107c04a365a246acd2bff58b82926bec229b711493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-02T01:42:58Z",
    "title_canon_sha256": "26d5ce922dcc0ac3e4030fcdb593c988a95628fe482041097b3baf6d6603d017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00451",
    "kind": "arxiv",
    "version": 2
  }
}