Pith Number

pith:SVNFREZD

pith:2024:SVNFREZD3FEGDWLW6MGAL2P3EA

not attested not anchored not stored refs pending

The Boolean spectrum of a Grothendieck category

Henning Krause

arxiv:2411.16309 v2 · 2024-11-25 · math.CT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SVNFREZD3FEGDWLW6MGAL2P3EA}

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	2026-07-05T09:46:54.974126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

955a589323d94861d976f30c05e9fb200012e7cb42ba9cb8ad5fb0d287bc205f

Aliases

arxiv: 2411.16309 · arxiv_version: 2411.16309v2 · doi: 10.48550/arxiv.2411.16309 · pith_short_12: SVNFREZD3FEG · pith_short_16: SVNFREZD3FEGDWLW · pith_short_8: SVNFREZD

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/SVNFREZD3FEGDWLW6MGAL2P3EA \
  | 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: 955a589323d94861d976f30c05e9fb200012e7cb42ba9cb8ad5fb0d287bc205f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369c49ce75026f51e3d0fba8aa607830d030c1e653f58e6f83c4a275b701d8d4",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-11-25T11:56:44Z",
    "title_canon_sha256": "f4ce08d09b1d1843930df26ec5b85e77ea30e6300ed895dd7277e14f75fa5216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16309",
    "kind": "arxiv",
    "version": 2
  }
}