Pith Number

pith:4XPSDAKZ

pith:2011:4XPSDAKZNF3LDLZTMDXJU5IYVB

not attested not anchored not stored refs pending

Banach spaces of universal disposition

Antonio Aviles, Felix Cabello, Jesus M. F. Castillo, Manuel Gonzalez, Yolanda Moreno

arxiv:1103.6065 v1 · 2011-03-30 · 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{4XPSDAKZNF3LDLZTMDXJU5IYVB}

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	2026-05-18T04:19:21.677776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5df2181596976b1af3360ee9a7518a866bde62e92c56808ff4252b9e3209cd3

Aliases

arxiv: 1103.6065 · arxiv_version: 1103.6065v1 · doi: 10.48550/arxiv.1103.6065 · pith_short_12: 4XPSDAKZNF3L · pith_short_16: 4XPSDAKZNF3LDLZT · pith_short_8: 4XPSDAKZ

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/4XPSDAKZNF3LDLZTMDXJU5IYVB \
  | 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: e5df2181596976b1af3360ee9a7518a866bde62e92c56808ff4252b9e3209cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082734bb961a3e0ddf0da5c91a8208fe55c476759eeb3b3e0ecd43e8f597399a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-30T23:48:11Z",
    "title_canon_sha256": "482228b1fe20f8b83bd78be32f17f91e004bd122ff060be8380ab39700bf20a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6065",
    "kind": "arxiv",
    "version": 1
  }
}