Pith Number

pith:LWYKMZLF

pith:2010:LWYKMZLFD6L34WPIZBTOWEJ447

not attested not anchored not stored refs pending

Verdier specialization via weak factorization

Paolo Aluffi

arxiv:1009.2483 v2 · 2010-09-13 · 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{LWYKMZLFD6L34WPIZBTOWEJ447}

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	2026-05-18T03:19:24.519008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db0a665651f97be59e8c866eb113ce7f9e119142fd83c8fa35bca279672d514

Aliases

arxiv: 1009.2483 · arxiv_version: 1009.2483v2 · doi: 10.48550/arxiv.1009.2483 · pith_short_12: LWYKMZLFD6L3 · pith_short_16: LWYKMZLFD6L34WPI · pith_short_8: LWYKMZLF

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/LWYKMZLFD6L34WPIZBTOWEJ447 \
  | 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: 5db0a665651f97be59e8c866eb113ce7f9e119142fd83c8fa35bca279672d514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe0e0a1813715dca97cbdb49c8bdedc4abaa78961330ee9ea543577be0c51ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-13T19:29:58Z",
    "title_canon_sha256": "c8cdd61dec0141f123dfda8f26fa40c07709b795d2f4fa5d8ff03de6426b6802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2483",
    "kind": "arxiv",
    "version": 2
  }
}