Pith Number

pith:GHVNWHHW

pith:2009:GHVNWHHW23FD2VYXNHHAULI2NM

not attested not anchored not stored refs pending

Introduction to coherent sheaves on weighted projective lines

Henning Krause, Xiao-Wu Chen

arxiv:0911.4473 v3 · 2009-11-23 · math.RT · 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{GHVNWHHW23FD2VYXNHHAULI2NM}

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

From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes

Receipt and verification

First computed	2026-05-18T04:40:45.284283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31eadb1cf6d6ca3d571769ce0a2d1a6b21b82ed213fdb22ab425fdab9cc54c5c

Aliases

arxiv: 0911.4473 · arxiv_version: 0911.4473v3 · doi: 10.48550/arxiv.0911.4473 · pith_short_12: GHVNWHHW23FD · pith_short_16: GHVNWHHW23FD2VYX · pith_short_8: GHVNWHHW

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/GHVNWHHW23FD2VYXNHHAULI2NM \
  | 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: 31eadb1cf6d6ca3d571769ce0a2d1a6b21b82ed213fdb22ab425fdab9cc54c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f8e480723aa170fcc364a7241aeff3b15bb7ca56f1482be499e0bdb8e96692",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-11-23T19:48:51Z",
    "title_canon_sha256": "b4621ddcca75a8cfde32434001daabab5a5d8f00cde3e4589dab0c6c50662a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4473",
    "kind": "arxiv",
    "version": 3
  }
}