Pith Number

pith:UQV2BWW5

pith:2010:UQV2BWW5GUHXUTB75PITRZPGNM

not attested not anchored not stored refs pending

On the number of branches of real curve singularities

Aleksandra Nowel, Zbigniew Szafraniec

arxiv:1006.4756 v1 · 2010-06-24 · 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{UQV2BWW5GUHXUTB75PITRZPGNM}

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	2026-05-18T02:58:02.063481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a42ba0dadd350f7a4c3febd138e5e66b1b2937a4e9bfd4856febcea239d266ab

Aliases

arxiv: 1006.4756 · arxiv_version: 1006.4756v1 · doi: 10.48550/arxiv.1006.4756 · pith_short_12: UQV2BWW5GUHX · pith_short_16: UQV2BWW5GUHXUTB7 · pith_short_8: UQV2BWW5

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/UQV2BWW5GUHXUTB75PITRZPGNM \
  | 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: a42ba0dadd350f7a4c3febd138e5e66b1b2937a4e9bfd4856febcea239d266ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c096e21efca0dc103b622b60d9454af6b447df14ca6da44e5200d542d307fd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-24T11:38:07Z",
    "title_canon_sha256": "82598578fc3f7011e75bf030056a4dd6fe1c5144cbecf37f14fa4cfbc5c2ba4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4756",
    "kind": "arxiv",
    "version": 1
  }
}