Pith Number

pith:Q5YRTCKQ

pith:2009:Q5YRTCKQJFLK7S2J4BHDAKZXXF

not attested not anchored not stored refs pending

Stratifying triangulated categories

Dave Benson, Henning Krause, Srikanth B. Iyengar

arxiv:0910.0642 v2 · 2009-10-04 · math.CT · math.AC · 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{Q5YRTCKQJFLK7S2J4BHDAKZXXF}

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	2026-05-18T02:58:02.706570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87711989504956afcb49e04e302b37b9718ac061dadcf9dfa9e5906213feec3a

Aliases

arxiv: 0910.0642 · arxiv_version: 0910.0642v2 · doi: 10.48550/arxiv.0910.0642 · pith_short_12: Q5YRTCKQJFLK · pith_short_16: Q5YRTCKQJFLK7S2J · pith_short_8: Q5YRTCKQ

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/Q5YRTCKQJFLK7S2J4BHDAKZXXF \
  | 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: 87711989504956afcb49e04e302b37b9718ac061dadcf9dfa9e5906213feec3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf26e2d8338aa65a916b69cdf5936683faaac88670d73a56331093056ed43c07",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-10-04T21:18:58Z",
    "title_canon_sha256": "5489232330b7d0ce4e6308aabbbb8f147da49c041ab07e48a89faff4f98d44f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0642",
    "kind": "arxiv",
    "version": 2
  }
}