Pith Number

pith:7V2A4OYM

pith:2024:7V2A4OYMH6IHOITCBFNTWN2AYA

not attested not anchored not stored refs pending

Sharp pinching theorems for complete submanifolds in the sphere

Andreas Savas-Halilaj, Fernanda Roing, Luciano Mari, Marco Magliaro

arxiv:2401.17861 v3 · 2024-01-31 · 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{7V2A4OYMH6IHOITCBFNTWN2AYA}

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	2026-07-05T09:19:53.870883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd740e3b0c3f90772262095b3b3740c0317e6f2ab51aa1ce09bc9cbb2b7184de

Aliases

arxiv: 2401.17861 · arxiv_version: 2401.17861v3 · doi: 10.48550/arxiv.2401.17861 · pith_short_12: 7V2A4OYMH6IH · pith_short_16: 7V2A4OYMH6IHOITC · pith_short_8: 7V2A4OYM

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/7V2A4OYMH6IHOITCBFNTWN2AYA \
  | 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: fd740e3b0c3f90772262095b3b3740c0317e6f2ab51aa1ce09bc9cbb2b7184de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef13b6de02d3a09ed234d19c84f0ad5cdc548d3df5d6df477f723e2f82d7d71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-01-31T14:21:38Z",
    "title_canon_sha256": "adff1b69a836fb24d04782acd0d3962876a1a3acb0591abd7c5451160e72420e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.17861",
    "kind": "arxiv",
    "version": 3
  }
}