Pith Number

pith:4O7IVK52

pith:2015:4O7IVK52I3YQVBOCJSIPH6JTJA

not attested not anchored not stored refs pending

Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles

Costante Bellettini

arxiv:1507.06548 v1 · 2015-07-23 · 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{4O7IVK52I3YQVBOCJSIPH6JTJA}

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	2026-05-18T01:36:24.662405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3be8aabba46f10a85c24c90f3f933483e6ea4e4fd022b5dcbf809f1a7e21561

Aliases

arxiv: 1507.06548 · arxiv_version: 1507.06548v1 · doi: 10.48550/arxiv.1507.06548 · pith_short_12: 4O7IVK52I3YQ · pith_short_16: 4O7IVK52I3YQVBOC · pith_short_8: 4O7IVK52

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/4O7IVK52I3YQVBOCJSIPH6JTJA \
  | 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: e3be8aabba46f10a85c24c90f3f933483e6ea4e4fd022b5dcbf809f1a7e21561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15039416f84ec26aecadb23cf54be42e323bb5b0ae9c3176014bba799e549879",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-23T16:13:21Z",
    "title_canon_sha256": "b6e02f58bef86681557efa31f07dd0c005adb201f32b74d011485b60e7268c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06548",
    "kind": "arxiv",
    "version": 1
  }
}