Pith Number

pith:ITXGTCYE

pith:2016:ITXGTCYEUQAB7X2MOM3NFOTW37

not attested not anchored not stored refs pending

Slice regular Besov spaces of hyperholomorphic functions and composition operators

Khalid Manzoor, Sanjay Kumar

arxiv:1609.02394 v1 · 2016-09-08 · 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{ITXGTCYEUQAB7X2MOM3NFOTW37}

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	2026-05-18T01:04:54.788083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ee698b04a4001fdf4c7336d2ba76dff37d6ce618ea199afe54c7677f5a7cab

Aliases

arxiv: 1609.02394 · arxiv_version: 1609.02394v1 · doi: 10.48550/arxiv.1609.02394 · pith_short_12: ITXGTCYEUQAB · pith_short_16: ITXGTCYEUQAB7X2M · pith_short_8: ITXGTCYE

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/ITXGTCYEUQAB7X2MOM3NFOTW37 \
  | 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: 44ee698b04a4001fdf4c7336d2ba76dff37d6ce618ea199afe54c7677f5a7cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc80fd1d79a6a45137ac62755c488b2fe048e57de1ecbbdff19bc916cfe87e9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-08T12:34:39Z",
    "title_canon_sha256": "90874d9b44c52146667bb0c1a65fa0f2857dc470fdfaffb2e2846dddf5e46bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02394",
    "kind": "arxiv",
    "version": 1
  }
}