Pith Number

pith:QZLLCZLG

pith:2012:QZLLCZLGI6IDCOD3Y7OMOOLM7X

not attested not anchored not stored refs pending

A'Campo curvature bumps and the Dirac phenomenon near a singular point

L. Paunescu, S. Koike, T-C. Kuo

arxiv:1206.0525 v3 · 2012-06-04 · math.AG · 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{QZLLCZLGI6IDCOD3Y7OMOOLM7X}

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	2026-05-18T00:44:30.363087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8656b16566479031387bc7dcc7396cfdf58929c2872244a8f5327ce90ec64963

Aliases

arxiv: 1206.0525 · arxiv_version: 1206.0525v3 · doi: 10.48550/arxiv.1206.0525 · pith_short_12: QZLLCZLGI6ID · pith_short_16: QZLLCZLGI6IDCOD3 · pith_short_8: QZLLCZLG

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/QZLLCZLGI6IDCOD3Y7OMOOLM7X \
  | 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: 8656b16566479031387bc7dcc7396cfdf58929c2872244a8f5327ce90ec64963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d7faf3a2ac2f0fc862c21fa8dc00116044b11bd57c05c28fd2fb55f5abadb5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-04T05:59:17Z",
    "title_canon_sha256": "03e53fa432f8068d9dfa1357fc00498046af075455c2050371301185e7146a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0525",
    "kind": "arxiv",
    "version": 3
  }
}