Pith Number

pith:XWKPVUGE

pith:2012:XWKPVUGE2EMSAKCO2D72VWVAJI

not attested not anchored not stored refs pending

Continuity of halo functions associated to homothecy invariant density bases

Oleksandra V. Beznosova, Paul A. Hagelstein

arxiv:1212.4199 v1 · 2012-12-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWKPVUGE2EMSAKCO2D72VWVAJI}

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	2026-05-18T03:38:13.556638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd94fad0c4d11920284ed0ffaadaa04a14585d1c32e2df9e6a74c02fea731b41

Aliases

arxiv: 1212.4199 · arxiv_version: 1212.4199v1 · doi: 10.48550/arxiv.1212.4199 · pith_short_12: XWKPVUGE2EMS · pith_short_16: XWKPVUGE2EMSAKCO · pith_short_8: XWKPVUGE

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/XWKPVUGE2EMSAKCO2D72VWVAJI \
  | 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: bd94fad0c4d11920284ed0ffaadaa04a14585d1c32e2df9e6a74c02fea731b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b868a824d38ae993a8f32c28d596559703382febc9299de97d5cfa5a63feae2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-18T00:18:07Z",
    "title_canon_sha256": "c9903d83948a7b44c2a438d27e710c7fe70da0a7eb95ca2d3f6df50b4299c5a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4199",
    "kind": "arxiv",
    "version": 1
  }
}