Pith Number

pith:RPSC67B3

pith:2019:RPSC67B3PZPMIF64IZVHOB5HTO

not attested not anchored not stored refs pending

On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories

Mikhail V. Bondarko, Sergei V. Vostokov

arxiv:1907.09412 v1 · 2019-07-22 · math.KT · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPSC67B3PZPMIF64IZVHOB5HTO}

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	2026-05-17T23:39:59.263263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be42f7c3b7e5ec417dc466a7707a79b8aaf27e0570ab2784f360a3264269373

Aliases

arxiv: 1907.09412 · arxiv_version: 1907.09412v1 · doi: 10.48550/arxiv.1907.09412 · pith_short_12: RPSC67B3PZPM · pith_short_16: RPSC67B3PZPMIF64 · pith_short_8: RPSC67B3

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/RPSC67B3PZPMIF64IZVHOB5HTO \
  | 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: 8be42f7c3b7e5ec417dc466a7707a79b8aaf27e0570ab2784f360a3264269373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d71d9e6de35a5b687cc04b7c59a1f7cde6a81b42bbcf6115f98a3c72fe022a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-07-22T16:37:37Z",
    "title_canon_sha256": "97e424c34fe2ee5448db207a7c61ca0b03a1ab09e3566dd466c8695e1e43c861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09412",
    "kind": "arxiv",
    "version": 1
  }
}