Pith Number

pith:HOBXKW5T

pith:2008:HOBXKW5TFRPGSUAELIWCWBXE5I

not attested not anchored not stored refs pending

Localization theory for triangulated categories

Henning Krause

arxiv:0806.1324 v2 · 2008-06-08 · math.CT · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOBXKW5TFRPGSUAELIWCWBXE5I}

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.

Cited by

1 paper in Pith

GL-algebras in positive characteristic III: the divided power algebra

Receipt and verification

First computed	2026-07-04T15:39:27.852547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b83755bb32c5e6950045a2c2b06e4ea04d3a8140197a577a64c5b510a875045

Aliases

arxiv: 0806.1324 · arxiv_version: 0806.1324v2 · doi: 10.48550/arxiv.0806.1324 · pith_short_12: HOBXKW5TFRPG · pith_short_16: HOBXKW5TFRPGSUAE · pith_short_8: HOBXKW5T

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/HOBXKW5TFRPGSUAELIWCWBXE5I \
  | 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: 3b83755bb32c5e6950045a2c2b06e4ea04d3a8140197a577a64c5b510a875045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5b35064f17671e276def73c7698b2a789fa95f6fe6cbeee33e6d0de410fe07",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-06-08T12:45:16Z",
    "title_canon_sha256": "02f745e2a60c67b849369a5b653d10a559a8f00c4cc1610087b1a4556a4aff03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1324",
    "kind": "arxiv",
    "version": 2
  }
}