Pith Number

pith:CTONZ6PX

pith:2010:CTONZ6PXRKFHPJFHLZCUDJ6P76

not attested not anchored not stored refs pending

Spreading Models in Banach Space Theory

K. Tyros, S.A. Argyros, V. Kanellopoulos

arxiv:1006.0957 v2 · 2010-06-04 · math.FA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTONZ6PXRKFHPJFHLZCUDJ6P76}

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	2026-05-18T02:54:05.505019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14dcdcf9f78a8a77a4a75e4541a7cfffa196c9530c8f8275b5576f1c9812fa4b

Aliases

arxiv: 1006.0957 · arxiv_version: 1006.0957v2 · doi: 10.48550/arxiv.1006.0957 · pith_short_12: CTONZ6PXRKFH · pith_short_16: CTONZ6PXRKFHPJFH · pith_short_8: CTONZ6PX

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/CTONZ6PXRKFHPJFHLZCUDJ6P76 \
  | 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: 14dcdcf9f78a8a77a4a75e4541a7cfffa196c9530c8f8275b5576f1c9812fa4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a92972cd74d1fed6be741d61b09e19d87e652dda9dfb54470381b1fdba8b37e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-04T17:59:14Z",
    "title_canon_sha256": "0652384bfefa0270207a2849d55e8437334015cd8f1426f9718f7ab39168fc70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0957",
    "kind": "arxiv",
    "version": 2
  }
}