Pith Number

pith:3UXTJKBE

pith:2025:3UXTJKBEPO67UBBFTPJEWAHDYJ

not attested not anchored not stored refs pending

Local mollification of metrics with small curvature concentration

Man-Chun Lee, Tang-Kai Lee

arxiv:2510.12673 v2 · 2025-10-14 · 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{3UXTJKBEPO67UBBFTPJEWAHDYJ}

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	2026-06-02T03:05:04.061363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2f34a8247bbdfa04259bd24b00e3c26cd60ddceecbe424981ab2ac58918a48

Aliases

arxiv: 2510.12673 · arxiv_version: 2510.12673v2 · doi: 10.48550/arxiv.2510.12673 · pith_short_12: 3UXTJKBEPO67 · pith_short_16: 3UXTJKBEPO67UBBF · pith_short_8: 3UXTJKBE

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/3UXTJKBEPO67UBBFTPJEWAHDYJ \
  | 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: dd2f34a8247bbdfa04259bd24b00e3c26cd60ddceecbe424981ab2ac58918a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d18630c711ac518c1a7ae45da6c0516ca8528e4cf08dcea1a950cb56a77b143",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-10-14T16:08:47Z",
    "title_canon_sha256": "15ecae9bd9576817fb85f4193683420079de71533bac1af582790029dc8ee48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.12673",
    "kind": "arxiv",
    "version": 2
  }
}