Pith Number

pith:CTFL5UE6

pith:2017:CTFL5UE6MEWUQKDCPM2SU46RCC

not attested not anchored not stored refs pending

Brownian motion on Perelman's almost Ricci-flat manifold

Esther Cabezas-Rivas, Robert Haslhofer

arxiv:1712.08184 v1 · 2017-12-21 · math.DG · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTFL5UE6MEWUQKDCPM2SU46RCC}

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	2026-05-18T00:27:24.229958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14cabed09e612d4828627b352a73d110a19bcfd6c138cfbe2d7adc69e470cce0

Aliases

arxiv: 1712.08184 · arxiv_version: 1712.08184v1 · doi: 10.48550/arxiv.1712.08184 · pith_short_12: CTFL5UE6MEWU · pith_short_16: CTFL5UE6MEWUQKDC · pith_short_8: CTFL5UE6

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/CTFL5UE6MEWUQKDCPM2SU46RCC \
  | 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: 14cabed09e612d4828627b352a73d110a19bcfd6c138cfbe2d7adc69e470cce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "569a80a1f0925e80e7a291a2be4832c0d3b54499dfd8f777be01e8b51b235c96",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-21T19:25:53Z",
    "title_canon_sha256": "ef4fb553a103489d670b787619c725d1d3c07957fb10db1ff7ff6fbe39931055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08184",
    "kind": "arxiv",
    "version": 1
  }
}