Pith Number

pith:43MJJNLC

pith:2009:43MJJNLCXM6FAWIF57BTKXQEZR

not attested not anchored not stored refs pending

On a conjecture of Kashiwara relating Chern and Euler classes of O-modules

Julien Grivaux

arxiv:0910.5384 v2 · 2009-10-28 · 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{43MJJNLCXM6FAWIF57BTKXQEZR}

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	2026-05-18T00:33:28.135916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d894b562bb3c505905efc3355e04cc7b5181696b70380bc6c92ee412d88cd4

Aliases

arxiv: 0910.5384 · arxiv_version: 0910.5384v2 · doi: 10.48550/arxiv.0910.5384 · pith_short_12: 43MJJNLCXM6F · pith_short_16: 43MJJNLCXM6FAWIF · pith_short_8: 43MJJNLC

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/43MJJNLCXM6FAWIF57BTKXQEZR \
  | 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: e6d894b562bb3c505905efc3355e04cc7b5181696b70380bc6c92ee412d88cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8999a9fbbd6b5d8c0a5fcd3f044035298e9b1206b2ad8e2bc06615b74a5e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-28T14:30:10Z",
    "title_canon_sha256": "1029ba6470602a2892bf30e87acebaee0e920ee63e1449c52f906376f2682dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5384",
    "kind": "arxiv",
    "version": 2
  }
}