Pith Number

pith:3BAFS7R6

pith:2016:3BAFS7R6LXIY23ZJTBLARQP7EF

not attested not anchored not stored refs pending

Resolution of the piecewise smooth visible-invisible two-fold singularity in $\mathbb{R}^3$ using regularization and blowup

Kristian Uldall Kristiansen, S. John Hogan

arxiv:1602.01026 v6 · 2016-02-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BAFS7R6LXIY23ZJTBLARQP7EF}

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	2026-05-18T00:04:42.109510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d840597e3e5dd18d6f29985608c1ff217b0314ba4b21e261aee9a7629ed346f7

Aliases

arxiv: 1602.01026 · arxiv_version: 1602.01026v6 · doi: 10.48550/arxiv.1602.01026 · pith_short_12: 3BAFS7R6LXIY · pith_short_16: 3BAFS7R6LXIY23ZJ · pith_short_8: 3BAFS7R6

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/3BAFS7R6LXIY23ZJTBLARQP7EF \
  | 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: d840597e3e5dd18d6f29985608c1ff217b0314ba4b21e261aee9a7629ed346f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74853d710f3857d6f57ecae377e5e17644b59dee2135f36f2f0cbadb076f4e48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-02T17:52:51Z",
    "title_canon_sha256": "e641a591354ebd704c02e328cb8a492fdeef036394e408936d14640b523834ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01026",
    "kind": "arxiv",
    "version": 6
  }
}