Pith Number

pith:K4TDBRCQ

pith:2016:K4TDBRCQ72JYN26ICK6JRGT5HA

not attested not anchored not stored refs pending

Bernstein polynomial of 2-Puiseux pairs irreducible plane curve singularities

A. Melle-Hern\'andez, E. Artal Bartolo, I. Luengo, Pi. Cassou-Nogu\`es

arxiv:1611.01091 v1 · 2016-11-03 · 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{K4TDBRCQ72JYN26ICK6JRGT5HA}

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	2026-05-18T01:00:17.719288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572630c450fe9386ebc812bc989a7d380ffe550a45893c00fab9cace64937ec5

Aliases

arxiv: 1611.01091 · arxiv_version: 1611.01091v1 · doi: 10.48550/arxiv.1611.01091 · pith_short_12: K4TDBRCQ72JY · pith_short_16: K4TDBRCQ72JYN26I · pith_short_8: K4TDBRCQ

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/K4TDBRCQ72JYN26ICK6JRGT5HA \
  | 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: 572630c450fe9386ebc812bc989a7d380ffe550a45893c00fab9cace64937ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd097f8ef8614e4ddd2952fd09dbd12512e68d976605f76103e90a8ed9b1f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-03T16:55:04Z",
    "title_canon_sha256": "0f6af37018c49bb90fb2550cc63f5a47ac527d9d31b57949816021a71bbe74ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01091",
    "kind": "arxiv",
    "version": 1
  }
}