Pith Number

pith:AP3XHW2F

pith:2013:AP3XHW2FTQZQVN4RMQCRMU2XWK

not attested not anchored not stored refs pending

Rigidity of complete entire self-shrinking solutions to Kahler-Ricci flow

Gregory Drugan, Peng Lu, Yu Yuan

arxiv:1305.7280 v1 · 2013-05-31 · 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{AP3XHW2FTQZQVN4RMQCRMU2XWK}

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	2026-05-18T03:22:07.322749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f773db459c330ab7916405165357b2bb75a01514e3d431eec4f86c904d3996

Aliases

arxiv: 1305.7280 · arxiv_version: 1305.7280v1 · doi: 10.48550/arxiv.1305.7280 · pith_short_12: AP3XHW2FTQZQ · pith_short_16: AP3XHW2FTQZQVN4R · pith_short_8: AP3XHW2F

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/AP3XHW2FTQZQVN4RMQCRMU2XWK \
  | 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: 03f773db459c330ab7916405165357b2bb75a01514e3d431eec4f86c904d3996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131c79e6ecc3b286c703dbae3534613d828c2acedff5e1475f80a40582fa1429",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-31T01:03:28Z",
    "title_canon_sha256": "9158ca8923aae4f1d6b018fe8ae259b4e8a8926cada2691a7bfc22c5bdd8587e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7280",
    "kind": "arxiv",
    "version": 1
  }
}