Pith Number

pith:2RSKGQOQ

pith:2012:2RSKGQOQQYBWJRMQZNGRPGLBE5

not attested not anchored not stored refs pending

Collapsing of Products Along the K\"ahler-Ricci Flow

Matthew Gill

arxiv:1203.3781 v1 · 2012-03-16 · 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{2RSKGQOQQYBWJRMQZNGRPGLBE5}

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	2026-05-18T03:59:49.911045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d464a341d0860364c590cb4d1799612761ed467637a65ec95616a7ad245267e5

Aliases

arxiv: 1203.3781 · arxiv_version: 1203.3781v1 · doi: 10.48550/arxiv.1203.3781 · pith_short_12: 2RSKGQOQQYBW · pith_short_16: 2RSKGQOQQYBWJRMQ · pith_short_8: 2RSKGQOQ

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/2RSKGQOQQYBWJRMQZNGRPGLBE5 \
  | 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: d464a341d0860364c590cb4d1799612761ed467637a65ec95616a7ad245267e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c754186f05aa801ccfe8fdaeea248d7d52b3239f16b01d8e07dbfd6b69c26698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-16T18:56:54Z",
    "title_canon_sha256": "ae2a4711a01b1a82f00ffa566aa59064a07c082723d7fe3cee50f0a82c02aad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3781",
    "kind": "arxiv",
    "version": 1
  }
}