Pith Number

pith:ZICQJY3J

pith:2017:ZICQJY3JMSUD2YWQE2DHWHZLHQ

not attested not anchored not stored refs pending

Comparison Results, Exit Time Moments, And Eigenvalues On Riemannian Manifolds With A Lower Ricci Curvature Bound

Don Colladay, Jeffrey J. Langford, Patrick McDonald

arxiv:1706.01601 v2 · 2017-06-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZICQJY3JMSUD2YWQE2DHWHZLHQ}

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	2026-05-18T00:42:28.436500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0504e36964a83d62d026867b1f2b3c2b3d1714f1c3096beae6d54023e109f0

Aliases

arxiv: 1706.01601 · arxiv_version: 1706.01601v2 · doi: 10.48550/arxiv.1706.01601 · pith_short_12: ZICQJY3JMSUD · pith_short_16: ZICQJY3JMSUD2YWQ · pith_short_8: ZICQJY3J

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/ZICQJY3JMSUD2YWQE2DHWHZLHQ \
  | 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: ca0504e36964a83d62d026867b1f2b3c2b3d1714f1c3096beae6d54023e109f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b7af343e6024a0793c26389034b52b85e07dc8302820b4a6d270fdb7f5519b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-06T04:17:37Z",
    "title_canon_sha256": "9ca5b67b4b9ad88c0270ba1079ddcf8553e558a5d85a30e6e2c05fcf566aaf4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01601",
    "kind": "arxiv",
    "version": 2
  }
}