Pith Number

pith:EXJBTVYL

pith:2012:EXJBTVYL6UP3Y6OSRT2DSFDFNI

not attested not anchored not stored refs pending

Operators ideals and approximation properties

Pablo Turco, Silvia Lassalle

arxiv:1211.7366 v2 · 2012-11-30 · 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{EXJBTVYL6UP3Y6OSRT2DSFDFNI}

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	2026-05-18T03:38:34.042514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25d219d70bf51fbc79d28cf43914656a0b54039a2181f2fe9d77c65eead6d5d2

Aliases

arxiv: 1211.7366 · arxiv_version: 1211.7366v2 · doi: 10.48550/arxiv.1211.7366 · pith_short_12: EXJBTVYL6UP3 · pith_short_16: EXJBTVYL6UP3Y6OS · pith_short_8: EXJBTVYL

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/EXJBTVYL6UP3Y6OSRT2DSFDFNI \
  | 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: 25d219d70bf51fbc79d28cf43914656a0b54039a2181f2fe9d77c65eead6d5d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ead90e3ade45b2038bb689649a92e3a82f7bf7b265c296653f3c77d99f51e30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-30T20:28:40Z",
    "title_canon_sha256": "6606b83317003bab7ce3b3841a235ad483d1bbbab2f3f7afbf63458030d17a07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7366",
    "kind": "arxiv",
    "version": 2
  }
}