Pith Number

pith:QMORL2VR

pith:2017:QMORL2VRII3Z6DCM3PSYMAB7L2

not attested not anchored not stored refs pending

New proofs of Perelman's theorem on shrinking Breathers in Ricci flow

Peng Lu, Yu Zheng

arxiv:1705.08325 v1 · 2017-05-23 · 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{QMORL2VRII3Z6DCM3PSYMAB7L2}

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	2026-05-18T00:43:48.600853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

831d15eab142379f0c4cdbe586003f5eb7f06d18c4488716c278e9e51a380d1d

Aliases

arxiv: 1705.08325 · arxiv_version: 1705.08325v1 · doi: 10.48550/arxiv.1705.08325 · pith_short_12: QMORL2VRII3Z · pith_short_16: QMORL2VRII3Z6DCM · pith_short_8: QMORL2VR

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/QMORL2VRII3Z6DCM3PSYMAB7L2 \
  | 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: 831d15eab142379f0c4cdbe586003f5eb7f06d18c4488716c278e9e51a380d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925adef2e2323a94ee1ae918e21b3244bd0b83cf40d8b8f68ae50380fd331d02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-23T14:41:52Z",
    "title_canon_sha256": "160ed0af2f29cfd21fd79c1a98001a5cef4825856e7cec17eee093d8e0783d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08325",
    "kind": "arxiv",
    "version": 1
  }
}