Pith Number

pith:XBZCN7WB

pith:2009:XBZCN7WB6ZAEP4INFDQQF3AJWU

not attested not anchored not stored refs pending

Characteristic classes of mixed Hodge modules

Joerg Schuermann

arxiv:0907.0584 v3 · 2009-07-03 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBZCN7WB6ZAEP4INFDQQF3AJWU}

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	2026-05-18T04:33:15.998611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87226fec1f64047f10d28e102ec09b526058226bfbd9a0fd321897489c12e59

Aliases

arxiv: 0907.0584 · arxiv_version: 0907.0584v3 · doi: 10.48550/arxiv.0907.0584 · pith_short_12: XBZCN7WB6ZAE · pith_short_16: XBZCN7WB6ZAEP4IN · pith_short_8: XBZCN7WB

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/XBZCN7WB6ZAEP4INFDQQF3AJWU \
  | 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: b87226fec1f64047f10d28e102ec09b526058226bfbd9a0fd321897489c12e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50759f6989efab03834fb037eb9d8c4a4aae3644052940108d52733726f124b5",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-03T10:31:06Z",
    "title_canon_sha256": "6bc957eb4c1cfb1eeb75cd247d0963c2b53389a3a4eb95537f2ec46c0f3ec714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0584",
    "kind": "arxiv",
    "version": 3
  }
}