Pith Number

pith:RLAU2MSS

pith:2016:RLAU2MSSLQKYCQSNM35CCBYNPC

not attested not anchored not stored refs pending

Global Poincar\'e inequality on Graphs via Conical Curvature-Dimension Conditions

Sajjad Lakzian, Zachary McGuirk

arxiv:1605.05432 v2 · 2016-05-18 · 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{RLAU2MSSLQKYCQSNM35CCBYNPC}

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	2026-05-18T00:09:53.395253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac14d32525c1581424d66fa21070d7892ac772450207393430dfd08dbcf88a6

Aliases

arxiv: 1605.05432 · arxiv_version: 1605.05432v2 · doi: 10.48550/arxiv.1605.05432 · pith_short_12: RLAU2MSSLQKY · pith_short_16: RLAU2MSSLQKYCQSN · pith_short_8: RLAU2MSS

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/RLAU2MSSLQKYCQSNM35CCBYNPC \
  | 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: 8ac14d32525c1581424d66fa21070d7892ac772450207393430dfd08dbcf88a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e027608d5cb9efce470e95915f4180991bd0bd9a15543980e6497df9d44152bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-18T04:05:35Z",
    "title_canon_sha256": "0093e781d3017688768d54551a3388ec2f8e7e4ec86429da9f86030d6fb2576f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05432",
    "kind": "arxiv",
    "version": 2
  }
}