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Pith Number

pith:6WYBPQ53

pith:2010:6WYBPQ53FT7Y4FOGZUTKJ5DLW5
not attested not anchored not stored refs pending

Unimodularity of Poincare polynomials of Lie algebras for semisimple singularities

Dmitry Novikov, Mamuka Jibladze

arxiv:1008.3135 v1 · 2010-08-18 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6WYBPQ53FT7Y4FOGZUTKJ5DLW5}

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 2026-05-18T04:42:03.555626Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f5b017c3bb2cff8e15c6cd26a4f46bb76e49ae9206354be4159e61eb1072cdae

Aliases

arxiv: 1008.3135 · arxiv_version: 1008.3135v1 · doi: 10.48550/arxiv.1008.3135 · pith_short_12: 6WYBPQ53FT7Y · pith_short_16: 6WYBPQ53FT7Y4FOG · pith_short_8: 6WYBPQ53
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6WYBPQ53FT7Y4FOGZUTKJ5DLW5 \
  | 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: f5b017c3bb2cff8e15c6cd26a4f46bb76e49ae9206354be4159e61eb1072cdae
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "579edc28c0732f49c3b9908ae3b769d701e8c8959c0fc18a6cf91bc603bf7934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-18T17:08:15Z",
    "title_canon_sha256": "331d743390dc69704c7ea8d5a619857a3723c057761ae815143ad33f4835ddf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3135",
    "kind": "arxiv",
    "version": 1
  }
}