Pith Number

pith:Z7F2EZHC

pith:2011:Z7F2EZHCYENWADQAXW5FCKIBJT

not attested not anchored not stored refs pending

Uniqueness of Tangent Cones to Positive-(p,p) Integral Cycles

Costante Bellettini

arxiv:1111.1652 v1 · 2011-11-07 · 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{Z7F2EZHCYENWADQAXW5FCKIBJT}

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	2026-05-18T02:52:32.710224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcba264e2c11b600e00bdba5129014cdb0c69c3152914e3e07b58433852807b

Aliases

arxiv: 1111.1652 · arxiv_version: 1111.1652v1 · doi: 10.48550/arxiv.1111.1652 · pith_short_12: Z7F2EZHCYENW · pith_short_16: Z7F2EZHCYENWADQA · pith_short_8: Z7F2EZHC

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/Z7F2EZHCYENWADQAXW5FCKIBJT \
  | 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: cfcba264e2c11b600e00bdba5129014cdb0c69c3152914e3e07b58433852807b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77d902f2fdc8da6f75d8e87f1896267f883887588107c9c1ff3d0dfe917d33d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-07T17:24:03Z",
    "title_canon_sha256": "98a91da1e94d0004785a2d1a5db83754917723b12c24bb9ed6fafe5fbd8567c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1652",
    "kind": "arxiv",
    "version": 1
  }
}