Pith Number

pith:TTSJUA6F

pith:2012:TTSJUA6FUWJGRL4J6VIEU74KI7

not attested not anchored not stored refs pending

Brian\c{c}on-Speder examples and the failure of weak Whitney regularity

David Trotman, Karim Bekka

arxiv:1212.5484 v1 · 2012-12-21 · math.AG · 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{TTSJUA6FUWJGRL4J6VIEU74KI7}

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	2026-05-18T03:37:54.261210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce49a03c5a59268af89f5504a7f8a47f2f66fb6aa42bc4d45f48b5c1cc390fe

Aliases

arxiv: 1212.5484 · arxiv_version: 1212.5484v1 · doi: 10.48550/arxiv.1212.5484 · pith_short_12: TTSJUA6FUWJG · pith_short_16: TTSJUA6FUWJGRL4J · pith_short_8: TTSJUA6F

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/TTSJUA6FUWJGRL4J6VIEU74KI7 \
  | 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: 9ce49a03c5a59268af89f5504a7f8a47f2f66fb6aa42bc4d45f48b5c1cc390fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1008ac25faf1c5b8724937a18443f3f7f91590fafd20ab1666e1853c33b59248",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-21T15:28:20Z",
    "title_canon_sha256": "78e54ad6008c2faff35f3d86d205d524a2e7f8307dcce96bceb38d7223d727cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5484",
    "kind": "arxiv",
    "version": 1
  }
}