Pith Number

pith:HFXHVVR3

pith:2024:HFXHVVR3PE4GU2ZXJV6JKOO6GX

not attested not anchored not stored refs pending

Existence of curvature flow with forcing in a critical Sobolev space

Yoshihiro Tonegawa, Yuning Liu

arxiv:2411.18284 v1 · 2024-11-27 · math.AP · 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{HFXHVVR3PE4GU2ZXJV6JKOO6GX}

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	2026-07-05T09:41:14.326648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

396e7ad63b79386a6b374d7c9539de35e0d38725e65b39caa6e516aa6f192418

Aliases

arxiv: 2411.18284 · arxiv_version: 2411.18284v1 · doi: 10.48550/arxiv.2411.18284 · pith_short_12: HFXHVVR3PE4G · pith_short_16: HFXHVVR3PE4GU2ZX · pith_short_8: HFXHVVR3

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/HFXHVVR3PE4GU2ZXJV6JKOO6GX \
  | 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: 396e7ad63b79386a6b374d7c9539de35e0d38725e65b39caa6e516aa6f192418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1df02c35523a59b7045ebec5dcbfbdf6dd92cbca41c6951b569ba931a89203e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-27T12:16:08Z",
    "title_canon_sha256": "44505d4c8926a2ff5c201329642625c944d4c2388be2b506e44019d0fde70b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18284",
    "kind": "arxiv",
    "version": 1
  }
}