Pith Number

pith:KJ532KCM

pith:2017:KJ532KCMRFKO25N3ILD56VACXR

not attested not anchored not stored refs pending

Boundary operators associated to the $\sigma_k$-curvature

Jeffrey S. Case, Yi Wang

arxiv:1707.04377 v1 · 2017-07-14 · 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{KJ532KCMRFKO25N3ILD56VACXR}

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	2026-05-18T00:40:18.412329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527bbd284c8954ed75bb42c7df5402bc5cdacf950f085478496f90c32c96d532

Aliases

arxiv: 1707.04377 · arxiv_version: 1707.04377v1 · doi: 10.48550/arxiv.1707.04377 · pith_short_12: KJ532KCMRFKO · pith_short_16: KJ532KCMRFKO25N3 · pith_short_8: KJ532KCM

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/KJ532KCMRFKO25N3ILD56VACXR \
  | 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: 527bbd284c8954ed75bb42c7df5402bc5cdacf950f085478496f90c32c96d532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc5fcae2448e8f65a0a1e32550ce081d3ac7cfd8052edb31704afbf3fa2d8c4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-14T03:59:18Z",
    "title_canon_sha256": "acf77064ad6b35e91e00598cc6277d2139c901d06ceb9e8560495045ba3597cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04377",
    "kind": "arxiv",
    "version": 1
  }
}