Pith Number

pith:2NJY5Z3P

pith:2015:2NJY5Z3PIXUTW4PRD2XO4MTNJD

not attested not anchored not stored refs pending

Puiseux expansions and non-isolated points in algebraic varieties

Gabriela Jeronimo, Juan Sabia, Maria Isabel Herrero

arxiv:1503.03014 v1 · 2015-03-10 · 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{2NJY5Z3PIXUTW4PRD2XO4MTNJD}

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	2026-05-18T02:25:12.578168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3538ee76f45e93b71f11eaeee326d48ea09135e4411b66cd5b1b2e3b9b6ccfd

Aliases

arxiv: 1503.03014 · arxiv_version: 1503.03014v1 · doi: 10.48550/arxiv.1503.03014 · pith_short_12: 2NJY5Z3PIXUT · pith_short_16: 2NJY5Z3PIXUTW4PR · pith_short_8: 2NJY5Z3P

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/2NJY5Z3PIXUTW4PRD2XO4MTNJD \
  | 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: d3538ee76f45e93b71f11eaeee326d48ea09135e4411b66cd5b1b2e3b9b6ccfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf42465d96b78b0e802cf91b288474e21a372e1ddbd305d740ce7189d7a1093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-10T17:52:18Z",
    "title_canon_sha256": "b8ab3fe22ffdcc2ed1e1c96a8e25465652c775801618163fefadc5d80ff8733f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03014",
    "kind": "arxiv",
    "version": 1
  }
}