Pith Number

pith:FQGE2TQE

pith:2024:FQGE2TQEVHHHADUC6JDUSBNKXP

not attested not anchored not stored refs pending

Star-shaped Curves under Gage's Area-preserving Flow and the CSF

Laiyuan Gao, Shicheng Zhang, Yuntao Zhang

arxiv:2412.18102 v1 · 2024-12-24 · 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{FQGE2TQEVHHHADUC6JDUSBNKXP}

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	2026-07-05T09:53:49.827679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0c4d4e04a9ce700e82f2474905aabbd181f8b4eed6fc56f5de2aa446d23de0

Aliases

arxiv: 2412.18102 · arxiv_version: 2412.18102v1 · doi: 10.48550/arxiv.2412.18102 · pith_short_12: FQGE2TQEVHHH · pith_short_16: FQGE2TQEVHHHADUC · pith_short_8: FQGE2TQE

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/FQGE2TQEVHHHADUC6JDUSBNKXP \
  | 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: 2c0c4d4e04a9ce700e82f2474905aabbd181f8b4eed6fc56f5de2aa446d23de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c84a1aa9cf6c1cd7daa8c668ad67fb50748baa6c4bf94708b8f212614fbf955",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-24T02:22:19Z",
    "title_canon_sha256": "d6eb5730ac7fb42b49634339954250e6ee437d99b1b3e16c9ac9f8085edb2b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18102",
    "kind": "arxiv",
    "version": 1
  }
}