Pith Number

pith:QXI2BPIW

pith:2017:QXI2BPIWWAXKDBCNMZMDGE36MR

not attested not anchored not stored refs pending

Cowen-Douglas function and its application on chaos

Lvlin Luo

arxiv:1712.03348 v2 · 2017-12-09 · 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{QXI2BPIWWAXKDBCNMZMDGE36MR}

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	2026-05-18T00:21:34.421654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d1a0bd16b02ea1844d665833137e646b555c5e3408ad91def80a987ff91267

Aliases

arxiv: 1712.03348 · arxiv_version: 1712.03348v2 · doi: 10.48550/arxiv.1712.03348 · pith_short_12: QXI2BPIWWAXK · pith_short_16: QXI2BPIWWAXKDBCN · pith_short_8: QXI2BPIW

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/QXI2BPIWWAXKDBCNMZMDGE36MR \
  | 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: 85d1a0bd16b02ea1844d665833137e646b555c5e3408ad91def80a987ff91267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58bcd3a9023ef02ab1f7fdb15d03b4ddd52a8ce648ac4757e61a75d1e99dfed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-09T07:09:15Z",
    "title_canon_sha256": "a621e1b626d0d571d8e81303ced5f118b652fd737f161d1fdfa65709aefb9b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03348",
    "kind": "arxiv",
    "version": 2
  }
}