Pith Number

pith:D4JZGCSX

pith:2012:D4JZGCSXRF7RDKABUPV4XR56FT

not attested not anchored not stored refs pending

The radial part of Brownian motion with respect to $\mathcal{L}$-distance under Ricci flow

Lijuan Cheng

arxiv:1211.3626 v2 · 2012-11-15 · 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{D4JZGCSXRF7RDKABUPV4XR56FT}

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	2026-05-18T03:20:32.582006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f13930a57897f11a801a3ebcbc7be2cf2cae72eba83fd44b2ab5a72f4e1d353

Aliases

arxiv: 1211.3626 · arxiv_version: 1211.3626v2 · doi: 10.48550/arxiv.1211.3626 · pith_short_12: D4JZGCSXRF7R · pith_short_16: D4JZGCSXRF7RDKAB · pith_short_8: D4JZGCSX

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/D4JZGCSXRF7RDKABUPV4XR56FT \
  | 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: 1f13930a57897f11a801a3ebcbc7be2cf2cae72eba83fd44b2ab5a72f4e1d353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e937ec0f33118ff8b0c1ebfdca536f4a2c58ef678b64b3c0f69483d8d7e0469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-15T15:03:06Z",
    "title_canon_sha256": "aaa716b5dbc5e170d0aa751b82972d2e28b3597d2bee9f420db64979b0d70bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3626",
    "kind": "arxiv",
    "version": 2
  }
}