Pith Number

pith:POMRSSIZ

pith:2010:POMRSSIZXGRK5IRXMGWGSL3RZ4

not attested not anchored not stored refs pending

Radon-Nikod\'ym compact spaces of low weight and Banach spaces

Antonio Avil\'es

arxiv:1012.5512 v1 · 2010-12-26 · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POMRSSIZXGRK5IRXMGWGSL3RZ4}

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	2026-05-18T02:43:01.010270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b99194919b9a2aea23761ac692f71cf228ba483cf628a7da3e1ed9571330b54

Aliases

arxiv: 1012.5512 · arxiv_version: 1012.5512v1 · doi: 10.48550/arxiv.1012.5512 · pith_short_12: POMRSSIZXGRK · pith_short_16: POMRSSIZXGRK5IRX · pith_short_8: POMRSSIZ

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/POMRSSIZXGRK5IRXMGWGSL3RZ4 \
  | 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: 7b99194919b9a2aea23761ac692f71cf228ba483cf628a7da3e1ed9571330b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8a01088e5891ea0f54bdb070850a7b0fa50b20c2c6411b4cf38fd2a88b192b",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-26T12:23:01Z",
    "title_canon_sha256": "87f9698a5ae706c2b28f07a35b7ff83d4dd13814c65c94de812905f3db87fac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5512",
    "kind": "arxiv",
    "version": 1
  }
}