Pith Number

pith:IWA4C664

pith:2014:IWA4C664OYJMI4F2FQO2WISVRY

not attested not anchored not stored refs pending

A notion of the weighted $\sigma_k$-curvature for manifolds with density

Jeffrey S. Case

arxiv:1409.4455 v2 · 2014-09-15 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWA4C664OYJMI4F2FQO2WISVRY}

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	2026-05-18T01:17:57.440841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4581c17bdc7612c470ba2c1dab22558e2035e5931028100083488e5458c3230e

Aliases

arxiv: 1409.4455 · arxiv_version: 1409.4455v2 · doi: 10.48550/arxiv.1409.4455 · pith_short_12: IWA4C664OYJM · pith_short_16: IWA4C664OYJMI4F2 · pith_short_8: IWA4C664

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/IWA4C664OYJMI4F2FQO2WISVRY \
  | 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: 4581c17bdc7612c470ba2c1dab22558e2035e5931028100083488e5458c3230e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e6b405d3da7164572c412642f020e268f6b8a9954f29b2b831cce2d578d678",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-15T21:42:19Z",
    "title_canon_sha256": "4c293b2ec3986c09267d8791422f636e575a58826ed91f9fc3f0e328dfefd6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4455",
    "kind": "arxiv",
    "version": 2
  }
}