Pith Number

pith:SPZDUUKN

pith:2013:SPZDUUKNT7RDI53GJKNT26TDAH

not attested not anchored not stored refs pending

Specialization orders on atom spectra of Grothendieck categories

Ryo Kanda

arxiv:1308.3928 v3 · 2013-08-19 · math.RT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPZDUUKNT7RDI53GJKNT26TDAH}

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	2026-05-18T01:28:15.110623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f23a514d9fe23477664a9b3d7a6301c9f70fec8bb0b5229644f71901747676

Aliases

arxiv: 1308.3928 · arxiv_version: 1308.3928v3 · doi: 10.48550/arxiv.1308.3928 · pith_short_12: SPZDUUKNT7RD · pith_short_16: SPZDUUKNT7RDI53G · pith_short_8: SPZDUUKN

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/SPZDUUKNT7RDI53GJKNT26TDAH \
  | 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: 93f23a514d9fe23477664a9b3d7a6301c9f70fec8bb0b5229644f71901747676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6dc8b3dc1bab39fb90e699ce5a35e69848401d933af1d566b835e56d45f17e",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-19T06:01:08Z",
    "title_canon_sha256": "3af92f68de2749183ed52cce7f6c256e588fa5f37b897fddafad917eb2d92247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3928",
    "kind": "arxiv",
    "version": 3
  }
}