Pith Number

pith:CSPN6S2Y

pith:2015:CSPN6S2Y7GB3CQHC2CM6G35CI6

not attested not anchored not stored refs pending

Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms

Alexandre Fernandes, J. Edson Sampaio

arxiv:1508.06250 v2 · 2015-08-25 · 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{CSPN6S2Y7GB3CQHC2CM6G35CI6}

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	2026-05-18T00:44:28.216617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149edf4b58f983b140e2d099e36fa247b1e7009e8705a07ffdaca7b8f3805812

Aliases

arxiv: 1508.06250 · arxiv_version: 1508.06250v2 · doi: 10.48550/arxiv.1508.06250 · pith_short_12: CSPN6S2Y7GB3 · pith_short_16: CSPN6S2Y7GB3CQHC · pith_short_8: CSPN6S2Y

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/CSPN6S2Y7GB3CQHC2CM6G35CI6 \
  | 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: 149edf4b58f983b140e2d099e36fa247b1e7009e8705a07ffdaca7b8f3805812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a9dc8e6a458ac2a3a3cb6738db4875dd350600c05a3f716e76b14fa405364a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-25T19:08:57Z",
    "title_canon_sha256": "e862eaeb31a31f07f74ee0e29f57f739d5bd74a6996a8be161ed158965294076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06250",
    "kind": "arxiv",
    "version": 2
  }
}