Pith Number

pith:Y3WX7GGQ

pith:2016:Y3WX7GGQWCIM2EHG432XHXMIJP

not attested not anchored not stored refs pending

Higher order approximation of analytic sets by topologically equivalent algebraic sets

Adam Parusinski, Guillaume Rond, Krzysztof Kurdyka, Marcin Bilski

arxiv:1602.06933 v2 · 2016-02-22 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3WX7GGQWCIM2EHG432XHXMIJP}

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	2026-05-18T00:44:16.161602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ed7f98d0b090cd10e6e6f573dd884bd810e19c999ba658f3529d98360802f5

Aliases

arxiv: 1602.06933 · arxiv_version: 1602.06933v2 · doi: 10.48550/arxiv.1602.06933 · pith_short_12: Y3WX7GGQWCIM · pith_short_16: Y3WX7GGQWCIM2EHG · pith_short_8: Y3WX7GGQ

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/Y3WX7GGQWCIM2EHG432XHXMIJP \
  | 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: c6ed7f98d0b090cd10e6e6f573dd884bd810e19c999ba658f3529d98360802f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af3c74151276136971a2d65067d8af418eda6bd8481fdd83730cf29b2e1b4ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-02-22T20:44:06Z",
    "title_canon_sha256": "f51739e0056e909dc9df28f94617f638d76119f889ce1898a60556eaa67d1a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06933",
    "kind": "arxiv",
    "version": 2
  }
}