Pith Number

pith:QYLHVA64

pith:2010:QYLHVA64UNZT4OXJDFRGOL23KQ

not attested not anchored not stored refs pending

A frequency function and singular set bounds for branched minimal immersions

Leon Simon, Neshan Wickramasekera

arxiv:1012.5028 v1 · 2010-12-22 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYLHVA64UNZT4OXJDFRGOL23KQ}

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	2026-05-18T04:32:44.647842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86167a83dca3733e3ae91962672f5b543a5c3afbd533aeb63c41089ad22725df

Aliases

arxiv: 1012.5028 · arxiv_version: 1012.5028v1 · doi: 10.48550/arxiv.1012.5028 · pith_short_12: QYLHVA64UNZT · pith_short_16: QYLHVA64UNZT4OXJ · pith_short_8: QYLHVA64

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/QYLHVA64UNZT4OXJDFRGOL23KQ \
  | 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: 86167a83dca3733e3ae91962672f5b543a5c3afbd533aeb63c41089ad22725df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b1d898b499c36b1f1e7baafa9431972b3b90e9d2435be3bad41e97ccb30205",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-22T16:42:28Z",
    "title_canon_sha256": "efa117ce5261ee8f9dede2ac0d09fc67370e2c526901a555c0453fe10613d964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5028",
    "kind": "arxiv",
    "version": 1
  }
}