pith. sign in
Pith Number

pith:PYITDEU3

pith:2015:PYITDEU3A64U5VI45NVDUG4VTG
not attested not anchored not stored refs pending

The pseudoanalytic extensions for some spaces of analytic functions

Fangqin Ye, Guanlong Bao, Hasi Wulan

arxiv:1504.01305 v1 · 2015-04-06 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PYITDEU3A64U5VI45NVDUG4VTG}

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 2026-05-18T02:19:34.687649Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7e1131929b07b94ed51ceb6a3a1b9599917c75d3e254a4c89150301ae6dfdd44

Aliases

arxiv: 1504.01305 · arxiv_version: 1504.01305v1 · doi: 10.48550/arxiv.1504.01305 · pith_short_12: PYITDEU3A64U · pith_short_16: PYITDEU3A64U5VI4 · pith_short_8: PYITDEU3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PYITDEU3A64U5VI45NVDUG4VTG \
  | 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: 7e1131929b07b94ed51ceb6a3a1b9599917c75d3e254a4c89150301ae6dfdd44
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb8b0defaff5b84ff45a3b28abb3c835d6c199acd895f1eeb4d396f874a6ea3d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-04-06T15:27:01Z",
    "title_canon_sha256": "2c4ef3c8fbe4d933fd8e779c454e6456cfce6992e43918d47efea3bde44fcd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01305",
    "kind": "arxiv",
    "version": 1
  }
}