Pith Number

pith:EWCNA4VJ

pith:2015:EWCNA4VJQVREGEPGQTJN2LGZUC

not attested not anchored not stored refs pending

Certifying isolated singular points and their multiplicity structure

Agnes Szanto, Bernard Mourrain (GALAAD2), Jonathan D. Hauenstein

arxiv:1501.05083 v2 · 2015-01-21 · 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{EWCNA4VJQVREGEPGQTJN2LGZUC}

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	2026-05-18T01:33:16.166617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2584d072a985624311e684d2dd2cd9a08b12baed56ee992028458b4a2e40391b

Aliases

arxiv: 1501.05083 · arxiv_version: 1501.05083v2 · doi: 10.48550/arxiv.1501.05083 · pith_short_12: EWCNA4VJQVRE · pith_short_16: EWCNA4VJQVREGEPG · pith_short_8: EWCNA4VJ

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/EWCNA4VJQVREGEPGQTJN2LGZUC \
  | 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: 2584d072a985624311e684d2dd2cd9a08b12baed56ee992028458b4a2e40391b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0704ceb9d7bb4acbb90ce2f2a4712f283a252ebc542e1f21aa3a2309df7c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-21T07:31:37Z",
    "title_canon_sha256": "a69036016b354ae750e9b50a313ff6fa7ed601c963df101c54bf97a5a97f8a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05083",
    "kind": "arxiv",
    "version": 2
  }
}