Pith Number

pith:3KDXIJBG

pith:2016:3KDXIJBGKZH7PJJUYSAOXPMVDA

not attested not anchored not stored refs pending

A weighted renormalized curvature for manifolds with density

Jeffrey S. Case

arxiv:1603.02989 v1 · 2016-03-09 · 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{3KDXIJBGKZH7PJJUYSAOXPMVDA}

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	2026-05-18T01:19:19.401558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da87742426564ff7a534c480ebbd95183e0d17e5163159017a0a5216141570ed

Aliases

arxiv: 1603.02989 · arxiv_version: 1603.02989v1 · doi: 10.48550/arxiv.1603.02989 · pith_short_12: 3KDXIJBGKZH7 · pith_short_16: 3KDXIJBGKZH7PJJU · pith_short_8: 3KDXIJBG

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/3KDXIJBGKZH7PJJUYSAOXPMVDA \
  | 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: da87742426564ff7a534c480ebbd95183e0d17e5163159017a0a5216141570ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf83abd9b2752e665259a274c0f10658509cc2a3192b3f6c434befae2dc8f814",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-09T18:25:48Z",
    "title_canon_sha256": "69b11d75c49cdd6c7e6ef8cb6b0ba1abea518a954be4c5513d23c0f4dc3cf41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02989",
    "kind": "arxiv",
    "version": 1
  }
}