Pith Number

pith:QJPLXKN2

pith:2021:QJPLXKN2QD2B7DZ2RXLDCGEJL4

not attested not anchored not stored refs pending

Geometric properties of a domain with cusps

Prachi Gupta, Shweta Gandhi, Sumit Nagpal, V. Ravichandran

arxiv:2104.00907 v1 · 2021-04-02 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJPLXKN2QD2B7DZ2RXLDCGEJL4}

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	2026-07-05T02:28:37.499332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825ebba9ba80f41f8f3a8dd63118895f2644ca8bfc9fc8a62b62a6bff0b6d922

Aliases

arxiv: 2104.00907 · arxiv_version: 2104.00907v1 · doi: 10.48550/arxiv.2104.00907 · pith_short_12: QJPLXKN2QD2B · pith_short_16: QJPLXKN2QD2B7DZ2 · pith_short_8: QJPLXKN2

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/QJPLXKN2QD2B7DZ2RXLDCGEJL4 \
  | 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: 825ebba9ba80f41f8f3a8dd63118895f2644ca8bfc9fc8a62b62a6bff0b6d922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa11c1b42d6d174fb6459b6126f280a4d4912f648c41ec18cbfa956f0ae267c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-04-02T06:43:11Z",
    "title_canon_sha256": "e1a9c686f26ceb66c43eaf484e075c2f05effbd8363390c3b08c6fe44f30e853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.00907",
    "kind": "arxiv",
    "version": 1
  }
}