Pith Number

pith:APZ36DP2

pith:2023:APZ36DP2PREXPXNDKQ2RTF4EWE

not attested not anchored not stored refs pending

Sharp distance comparison for curve shortening flow on the round sphere

Jonathan J. Zhu, Mat Langford, Paul Bryan

arxiv:2310.02649 v1 · 2023-10-04 · 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{APZ36DP2PREXPXNDKQ2RTF4EWE}

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.

Cited by

1 paper in Pith

Geometric aspects of the curve shortening flow in the hyperbolic plane

Receipt and verification

First computed	2026-07-05T06:57:12.430598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f3bf0dfa7c4977dda35435199784b1078e8bffd57dfc0236ada8d68587310f

Aliases

arxiv: 2310.02649 · arxiv_version: 2310.02649v1 · doi: 10.48550/arxiv.2310.02649 · pith_short_12: APZ36DP2PREX · pith_short_16: APZ36DP2PREXPXND · pith_short_8: APZ36DP2

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/APZ36DP2PREXPXNDKQ2RTF4EWE \
  | 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: 03f3bf0dfa7c4977dda35435199784b1078e8bffd57dfc0236ada8d68587310f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e2b8d85c54db074b2ef8d65d3f75c4635878c21a46fe83d8396e8d0e533529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-10-04T08:17:26Z",
    "title_canon_sha256": "75fed9a27464f0216939529b899e723e66ed5debc5a43b48773a2a7c90f332e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.02649",
    "kind": "arxiv",
    "version": 1
  }
}