pith. sign in
Pith Number

pith:PSVT4WXZ

pith:2013:PSVT4WXZSYOSCBQAZ3ARLWI7JX
not attested not anchored not stored refs pending

Inverse continuity on the boundary of the numerical range

Brian Lins, Ilya Spitkovsky, Timothy Leake

arxiv:1307.5038 v2 · 2013-07-18 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PSVT4WXZSYOSCBQAZ3ARLWI7JX}

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 2026-05-18T01:36:21.076241Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7cab3e5af9961d210600cec115d91f4dcdbf584b92176d575ec148b1758292dd

Aliases

arxiv: 1307.5038 · arxiv_version: 1307.5038v2 · doi: 10.48550/arxiv.1307.5038 · pith_short_12: PSVT4WXZSYOS · pith_short_16: PSVT4WXZSYOSCBQA · pith_short_8: PSVT4WXZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PSVT4WXZSYOSCBQAZ3ARLWI7JX \
  | 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: 7cab3e5af9961d210600cec115d91f4dcdbf584b92176d575ec148b1758292dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2516eac6e63849f4ce36acfcec13b159a2270edba75ca18d390818bcdf1ea76f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-18T18:36:48Z",
    "title_canon_sha256": "cad92aa8d803c4c014ff26076509e4de1fc03af8a77fcfdcdfae48f7735d4578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5038",
    "kind": "arxiv",
    "version": 2
  }
}