Pith Number

pith:V2LWDCIQ

pith:2013:V2LWDCIQ46BNICJ5IAH5UROBQU

not attested not anchored not stored refs pending

Functional inequalities on path space over a non-compact Riemannian manifold

Bo Wu, Xin Chen

arxiv:1307.4482 v2 · 2013-07-17 · 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{V2LWDCIQ46BNICJ5IAH5UROBQU}

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	2026-05-18T03:17:24.080076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae97618910e782d4093d400fda45c1852275eafb79c5166f0e7345b1905b8f52

Aliases

arxiv: 1307.4482 · arxiv_version: 1307.4482v2 · doi: 10.48550/arxiv.1307.4482 · pith_short_12: V2LWDCIQ46BN · pith_short_16: V2LWDCIQ46BNICJ5 · pith_short_8: V2LWDCIQ

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/V2LWDCIQ46BNICJ5IAH5UROBQU \
  | 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: ae97618910e782d4093d400fda45c1852275eafb79c5166f0e7345b1905b8f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d89c28cf37d4ef384e410d7c4ad23d36fdf7ec19ab0495624ff740e4831267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-17T01:48:23Z",
    "title_canon_sha256": "faa2ea0e9032fdc2b473b1e4f6f71b83e399868d3eb5a8f20687150a2010c91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4482",
    "kind": "arxiv",
    "version": 2
  }
}