Pith Number

pith:CDWXA53B

pith:2008:CDWXA53BX73CIVKHIKJEXOUURB

not attested not anchored not stored refs pending

Integral pinching results for manifolds with boundary

Cheikh Birahim Ndiaye, Giovanni Catino

arxiv:0811.3899 v2 · 2008-11-24 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDWXA53BX73CIVKHIKJEXOUURB}

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	2026-05-18T04:12:43.223566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ed707761bff624554742924bba94887dc9267269015e2b3aaa095c70413193

Aliases

arxiv: 0811.3899 · arxiv_version: 0811.3899v2 · doi: 10.48550/arxiv.0811.3899 · pith_short_12: CDWXA53BX73C · pith_short_16: CDWXA53BX73CIVKH · pith_short_8: CDWXA53B

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/CDWXA53BX73CIVKHIKJEXOUURB \
  | 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: 10ed707761bff624554742924bba94887dc9267269015e2b3aaa095c70413193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b45b9ea2a0ca6bb87ee77647a1d2d726df34c50d1523b834738fada85eb10a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-11-24T15:50:03Z",
    "title_canon_sha256": "2f32deb59d5aa9867ad56d865fd32b7744616e286ccc2d32273000c4ce686524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3899",
    "kind": "arxiv",
    "version": 2
  }
}