Pith Number

pith:XNCDPGBU

pith:2015:XNCDPGBUO3ZTY2DF4EKB35GOQO

not attested not anchored not stored refs pending

Essentially Normal Composition Operators on $H^2$

Mor Katz

arxiv:1503.06165 v1 · 2015-03-20 · 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{XNCDPGBUO3ZTY2DF4EKB35GOQO}

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	2026-05-18T02:19:43.519913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4437983476f33c6865e1141df4ce83ab1160a09829e8735a2cf109e3cf8a2c

Aliases

arxiv: 1503.06165 · arxiv_version: 1503.06165v1 · doi: 10.48550/arxiv.1503.06165 · pith_short_12: XNCDPGBUO3ZT · pith_short_16: XNCDPGBUO3ZTY2DF · pith_short_8: XNCDPGBU

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/XNCDPGBUO3ZTY2DF4EKB35GOQO \
  | 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: bb4437983476f33c6865e1141df4ce83ab1160a09829e8735a2cf109e3cf8a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de378e866caebc5dc53a1443b7578c757c9d57dd42e072da1c477fae7d4c0471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-20T17:11:36Z",
    "title_canon_sha256": "b5f406287b58577f4384b1646fc392b3edd0035aac0f4a0be1b1415c4f26ed29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06165",
    "kind": "arxiv",
    "version": 1
  }
}