Pith Number

pith:HP2JSZBG

pith:2009:HP2JSZBGQXY7WS2AGQ6AEBXKW3

not attested not anchored not stored refs pending

Higher direct images of the structure sheaf in positive characteristic

Andre Chatzistamatiou, Kay R\"ulling

arxiv:0911.3599 v2 · 2009-11-18 · 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{HP2JSZBGQXY7WS2AGQ6AEBXKW3}

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	2026-05-18T04:24:35.294693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf499642685f1fb4b40343c0206eab6df14b43abe5265d18e99fb21c4201bb8

Aliases

arxiv: 0911.3599 · arxiv_version: 0911.3599v2 · doi: 10.48550/arxiv.0911.3599 · pith_short_12: HP2JSZBGQXY7 · pith_short_16: HP2JSZBGQXY7WS2A · pith_short_8: HP2JSZBG

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/HP2JSZBGQXY7WS2AGQ6AEBXKW3 \
  | 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: 3bf499642685f1fb4b40343c0206eab6df14b43abe5265d18e99fb21c4201bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5098db0436be93603b2dec5986abaf3cddaacc1f70aaec6886a9f82287583f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-18T16:49:20Z",
    "title_canon_sha256": "e6aa9d5fa2f8b91fdf27e239fdc7bf9d25c0293b5dfaa211848e784370f2d1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3599",
    "kind": "arxiv",
    "version": 2
  }
}