Pith Number

pith:QWOZGRCQ

pith:2017:QWOZGRCQDS2VITV5WPKOPRFPE4

not attested not anchored not stored refs pending

Tangent cones and $C^1$ regularity of definable sets

Krzysztof Kurdyka, Nhan Nguyen, Olivier Le Gal

arxiv:1703.05421 v1 · 2017-03-15 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWOZGRCQDS2VITV5WPKOPRFPE4}

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	2026-05-18T00:48:34.331248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859d9344501cb5544ebdb3d4e7c4af272b7f7e640ee9292a864c90c14341d2de

Aliases

arxiv: 1703.05421 · arxiv_version: 1703.05421v1 · doi: 10.48550/arxiv.1703.05421 · pith_short_12: QWOZGRCQDS2V · pith_short_16: QWOZGRCQDS2VITV5 · pith_short_8: QWOZGRCQ

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/QWOZGRCQDS2VITV5WPKOPRFPE4 \
  | 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: 859d9344501cb5544ebdb3d4e7c4af272b7f7e640ee9292a864c90c14341d2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ce61fb22c457bf39c3dcaeef12663b5e62134b9e384998de0fbca940db4dda",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-15T23:16:58Z",
    "title_canon_sha256": "db46f3cc965de3fcba19360e1f6883c44cb26ad21cffb8b36052cd989aa6a0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05421",
    "kind": "arxiv",
    "version": 1
  }
}