Pith Number

pith:YDIPWL47

pith:2025:YDIPWL47HCXGGO4XJ6YUQY5G63

not attested not anchored not stored refs pending

Closed BV-extension and $W^{1,1}$-extension sets

Danka Lu\v{c}i\'c, Emanuele Caputo, Jesse Koivu, Tapio Rajala

arxiv:2503.15716 v1 · 2025-03-19 · math.MG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDIPWL47HCXGGO4XJ6YUQY5G63}

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	2026-07-05T10:35:57.016167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d0fb2f9f38ae633b974fb14863a6f6c4269132e7cbd3f1a413ab1f90f9df4d

Aliases

arxiv: 2503.15716 · arxiv_version: 2503.15716v1 · doi: 10.48550/arxiv.2503.15716 · pith_short_12: YDIPWL47HCXG · pith_short_16: YDIPWL47HCXGGO4X · pith_short_8: YDIPWL47

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/YDIPWL47HCXGGO4XJ6YUQY5G63 \
  | 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: c0d0fb2f9f38ae633b974fb14863a6f6c4269132e7cbd3f1a413ab1f90f9df4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee2d7d0c1592d091dd2ce6af5e2a725b8b0cecf3e02eaf9995e4f0873d29c3e",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-03-19T21:57:44Z",
    "title_canon_sha256": "a310fb9c8b974c5971dfa105994528bef4b87cdec589d256dc03bf0735a93819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.15716",
    "kind": "arxiv",
    "version": 1
  }
}