Pith Number

pith:DVVL6FPO

pith:2003:DVVL6FPOMWZZSLXXHGMID4ONSC

not attested not anchored not stored refs pending

Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Grisha Perelman

arxiv:math/0307245 v1 · 2003-07-17 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVVL6FPOMWZZSLXXHGMID4ONSC}

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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.

Cited by

21 papers in Pith

A Levi-type decomposition on two-step solvable Lie algebras with a complex structure

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three

The Ollivier Ricci flow with prescribed curvature on infinite graphs

On the structure of complete $G_2$-solitons

Geometrisation of 3-manifolds

Receipt and verification

First computed	2026-07-04T14:37:36.384240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d6abf15ee65b3992ef7399881f1cd908ea690a92f0a56aea7d71300e1191a40

Aliases

arxiv: math/0307245 · arxiv_version: math/0307245v1 · doi: 10.48550/arxiv.math/0307245 · pith_short_12: DVVL6FPOMWZZ · pith_short_16: DVVL6FPOMWZZSLXX · pith_short_8: DVVL6FPO

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/DVVL6FPOMWZZSLXXHGMID4ONSC \
  | 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: 1d6abf15ee65b3992ef7399881f1cd908ea690a92f0a56aea7d71300e1191a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248eb45fc91f9d4b811418cc7b4b9209fdb56ba55b22c4c75ac853d265a65905",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-07-17T15:26:38Z",
    "title_canon_sha256": "105070ba1d8296e692ef7749cfb5d62d950d6197129a0b49de8ed242352a5587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307245",
    "kind": "arxiv",
    "version": 1
  }
}