Pith Number

pith:FTT5AHPK

pith:2017:FTT5AHPKVBABXCLFWCTOZIEKLJ

not attested not anchored not stored refs pending

Lower bound for the coarse Ricci curvature of continuous-time pure jump processes

Denis Villemonais

arxiv:1705.06642 v4 · 2017-05-18 · 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{FTT5AHPKVBABXCLFWCTOZIEKLJ}

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	2026-05-17T23:56:58.855666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce7d01deaa8401b8965b0a6eca08a5a75c8ce8a44fb2fb39bae36bc1e42e535

Aliases

arxiv: 1705.06642 · arxiv_version: 1705.06642v4 · doi: 10.48550/arxiv.1705.06642 · pith_short_12: FTT5AHPKVBAB · pith_short_16: FTT5AHPKVBABXCLF · pith_short_8: FTT5AHPK

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/FTT5AHPKVBABXCLFWCTOZIEKLJ \
  | 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: 2ce7d01deaa8401b8965b0a6eca08a5a75c8ce8a44fb2fb39bae36bc1e42e535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2eb1f28c1d4f254e5212877c3ecfefddbca1b07171fbc225bcdc599956ed0ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-18T15:12:54Z",
    "title_canon_sha256": "fd0f81007dec8caf5de38e4472b3ae626e93fc74480ad6f89b6ff9b9d9d515ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06642",
    "kind": "arxiv",
    "version": 4
  }
}