Pith Number

pith:KOKVJA3G

pith:2016:KOKVJA3GVSFGFRKNPXIE6QQD2X

not attested not anchored not stored refs pending

How Logic Interacts with Geometry: Infinitesimal Curvature of Categorical Spaces

Jerzy Kr\'ol, Michael Heller

arxiv:1605.03099 v1 · 2016-05-07 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOKVJA3GVSFGFRKNPXIE6QQD2X}

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	2026-05-18T01:15:06.019269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5395548366ac8a62c54d7dd04f4203d5f14e3fc20906bc5285d82c657be399c3

Aliases

arxiv: 1605.03099 · arxiv_version: 1605.03099v1 · doi: 10.48550/arxiv.1605.03099 · pith_short_12: KOKVJA3GVSFG · pith_short_16: KOKVJA3GVSFGFRKN · pith_short_8: KOKVJA3G

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/KOKVJA3GVSFGFRKNPXIE6QQD2X \
  | 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: 5395548366ac8a62c54d7dd04f4203d5f14e3fc20906bc5285d82c657be399c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e228c109ed97af4c1cd56cd1e36e0b461fa4a710ba040531c3a72a0ca76db573",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-07T14:59:51Z",
    "title_canon_sha256": "cb9e7e7f071a75b39d31e94e97afcd8d8164079a2e3f0fa771ffbd115fdc4d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03099",
    "kind": "arxiv",
    "version": 1
  }
}