Pith Number

pith:W5GYGSWT

pith:2013:W5GYGSWTAATHND2GPQGOEMXBBF

not attested not anchored not stored refs pending

Exact functors on perverse coherent sheaves

Clemens Koppensteiner

arxiv:1305.1355 v3 · 2013-05-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5GYGSWTAATHND2GPQGOEMXBBF}

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	2026-05-18T01:31:46.841078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b74d834ad30026768f467c0ce232e1094a78154c22cd4f4ce3a54650af88b3dd

Aliases

arxiv: 1305.1355 · arxiv_version: 1305.1355v3 · doi: 10.48550/arxiv.1305.1355 · pith_short_12: W5GYGSWTAATH · pith_short_16: W5GYGSWTAATHND2G · pith_short_8: W5GYGSWT

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/W5GYGSWTAATHND2GPQGOEMXBBF \
  | 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: b74d834ad30026768f467c0ce232e1094a78154c22cd4f4ce3a54650af88b3dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61eaab03299ef6139cdad10e071f779509f062a8fbc7c1e5c6a4385142094f94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-06T23:30:27Z",
    "title_canon_sha256": "4df98d80ff4138ba230dc02ae09ddd1dc74e279f6ca4cc700a2916a3c0ae58d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1355",
    "kind": "arxiv",
    "version": 3
  }
}