Pith Number

pith:4HJP7JCQ

pith:2017:4HJP7JCQWBEU3YBA74JSZMJGRX

not attested not anchored not stored refs pending

Global smoothing of a subanalytic set

Adam Parusinski, Edward Bierstone

arxiv:1705.06331 v2 · 2017-05-17 · math.CV · 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{4HJP7JCQWBEU3YBA74JSZMJGRX}

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	2026-05-18T00:00:45.962017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d2ffa450b0494de020ff132cb1268dd4d9237ff201a60e6f3e142c88cf20a1

Aliases

arxiv: 1705.06331 · arxiv_version: 1705.06331v2 · doi: 10.48550/arxiv.1705.06331 · pith_short_12: 4HJP7JCQWBEU · pith_short_16: 4HJP7JCQWBEU3YBA · pith_short_8: 4HJP7JCQ

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/4HJP7JCQWBEU3YBA74JSZMJGRX \
  | 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: e1d2ffa450b0494de020ff132cb1268dd4d9237ff201a60e6f3e142c88cf20a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61a229a8f8c2085b115d5cd3dc5856f8c00c5a0b97ee9216b0f5bfab7b46c52",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-05-17T20:11:37Z",
    "title_canon_sha256": "cfe944700924c2b120d3025c413e5b8ee69f2c9d134cff4908d85e911ab8fbee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06331",
    "kind": "arxiv",
    "version": 2
  }
}