Pith Number

pith:LTZVUTAR

pith:2013:LTZVUTARB2MGUW6AKZFOYFE5KP

not attested not anchored not stored refs pending

A Probabilistic Approach for Gradient Inequalities on Time-Inhomogeneous Manifolds

Li-Juan Cheng

arxiv:1305.0608 v2 · 2013-05-03 · 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{LTZVUTARB2MGUW6AKZFOYFE5KP}

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	2026-05-18T03:20:22.256006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf35a4c110e986a5bc0564aec149d53cffe1b38838dd91452266c9180bc78d2

Aliases

arxiv: 1305.0608 · arxiv_version: 1305.0608v2 · doi: 10.48550/arxiv.1305.0608 · pith_short_12: LTZVUTARB2MG · pith_short_16: LTZVUTARB2MGUW6A · pith_short_8: LTZVUTAR

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/LTZVUTARB2MGUW6AKZFOYFE5KP \
  | 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: 5cf35a4c110e986a5bc0564aec149d53cffe1b38838dd91452266c9180bc78d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d63c6f9be7dd6c014aaae5469622429fbcae97e33684d3c583754744c89e5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-03T01:52:18Z",
    "title_canon_sha256": "c4ba35e3bae0d339da4890bdd3ac389cbf4dd106824cb18727dba2a540a51105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0608",
    "kind": "arxiv",
    "version": 2
  }
}