Pith Number

pith:D6YRU7KT

pith:2008:D6YRU7KTZRN3HFQY3YPYIIYJO2

not attested not anchored not stored refs pending

MAPLE subroutines for computing Milnor and Tyurina numbers of hypersurface singularities with application to Arnol'd adjacencies

Lea Terracini, Michele Rossi

arxiv:0809.4345 v3 · 2008-09-25 · 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{D6YRU7KTZRN3HFQY3YPYIIYJO2}

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	2026-05-18T00:40:08.900751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb11a7d53cc5bb39618de1f84230976a15631dace2a92defe6aec5a425d9d99

Aliases

arxiv: 0809.4345 · arxiv_version: 0809.4345v3 · doi: 10.48550/arxiv.0809.4345 · pith_short_12: D6YRU7KTZRN3 · pith_short_16: D6YRU7KTZRN3HFQY · pith_short_8: D6YRU7KT

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/D6YRU7KTZRN3HFQY3YPYIIYJO2 \
  | 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: 1fb11a7d53cc5bb39618de1f84230976a15631dace2a92defe6aec5a425d9d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43552122bc112c0a50af42fb242bf3dd288c0ff9d0000e4f765ca4d31e40c549",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-25T08:58:54Z",
    "title_canon_sha256": "86faabace450609d14e97dafeaac54590540d622e28c05c653c3a44a173ac339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4345",
    "kind": "arxiv",
    "version": 3
  }
}