Pith Number

pith:TZILCOXH

pith:2014:TZILCOXHSQJH35HQFJGXACNT7O

not attested not anchored not stored refs pending

Properties of Beurling-Type Submodules via Agler Decompositions

Constanze Liaw, Kelly Bickel

arxiv:1411.5759 v1 · 2014-11-21 · 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{TZILCOXHSQJH35HQFJGXACNT7O}

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	2026-05-18T01:00:12.946296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e50b13ae794127df4f02a4d7009b3fb9a2491d16a757000941d55ea0383017d

Aliases

arxiv: 1411.5759 · arxiv_version: 1411.5759v1 · doi: 10.48550/arxiv.1411.5759 · pith_short_12: TZILCOXHSQJH · pith_short_16: TZILCOXHSQJH35HQ · pith_short_8: TZILCOXH

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/TZILCOXHSQJH35HQFJGXACNT7O \
  | 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: 9e50b13ae794127df4f02a4d7009b3fb9a2491d16a757000941d55ea0383017d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c260a8d1a04be788c8fc1c3e5ef3f22225508042a806a83b9b45256ba17df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-21T03:49:56Z",
    "title_canon_sha256": "4679ab7f6efb83f2d6c37a2bdbeb26b089f6ce2fa7a15b0a8b62c4e833c2386b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5759",
    "kind": "arxiv",
    "version": 1
  }
}