Pith Number

pith:YOHESYCT

pith:2014:YOHESYCTDUBDHE5ZK3MY22CX3K

not attested not anchored not stored refs pending

Essential Normality of automorphic composition operators

Caiheng Ouyang, Liangying Jiang, Ruhan Zhao

arxiv:1408.4381 v1 · 2014-08-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOHESYCTDUBDHE5ZK3MY22CX3K}

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	2026-05-18T02:44:55.566487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38e4960531d023393b956d98d6857dab5a3103adf463e991797eb479a895a49

Aliases

arxiv: 1408.4381 · arxiv_version: 1408.4381v1 · doi: 10.48550/arxiv.1408.4381 · pith_short_12: YOHESYCTDUBD · pith_short_16: YOHESYCTDUBDHE5Z · pith_short_8: YOHESYCT

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/YOHESYCTDUBDHE5ZK3MY22CX3K \
  | 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: c38e4960531d023393b956d98d6857dab5a3103adf463e991797eb479a895a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b042fbf0792c71c8c5fd3ebe2082f477e318cb6819e830a6653d1952dd03d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-08-19T16:19:30Z",
    "title_canon_sha256": "fb595bedfa4fafdbb8650aed674d3c6eaf25ec52c4d5680ef67eaf21f924686d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4381",
    "kind": "arxiv",
    "version": 1
  }
}