Pith Number

pith:7HJHXV52

pith:2013:7HJHXV525BNJASNEZFL3OTB6P5

not attested not anchored not stored refs pending

Trace ideal criteria for embeddings and composition operators on model spaces

A. Aleman, E. Malinnikova, K.-M. Perfekt, Yu. Lyubarskii

arxiv:1307.2652 v1 · 2013-07-10 · 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{7HJHXV525BNJASNEZFL3OTB6P5}

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	2026-05-18T01:18:28.401382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d27bd7bae85a9049a4c957b74c3e7f67b7fbea8fa1270cf0235b7300cf3fe9

Aliases

arxiv: 1307.2652 · arxiv_version: 1307.2652v1 · doi: 10.48550/arxiv.1307.2652 · pith_short_12: 7HJHXV525BNJ · pith_short_16: 7HJHXV525BNJASNE · pith_short_8: 7HJHXV52

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/7HJHXV525BNJASNEZFL3OTB6P5 \
  | 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: f9d27bd7bae85a9049a4c957b74c3e7f67b7fbea8fa1270cf0235b7300cf3fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1029fb6dd6f3081db92dd288be5039aaf3e4266e934ecff9d70052cbe66e6c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-10T02:01:22Z",
    "title_canon_sha256": "2ec1fc86056ab3609a28970d4c2dabd21d589075a2935c5d3f7df8b7e4f118ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2652",
    "kind": "arxiv",
    "version": 1
  }
}