Pith Number

pith:AAI5GB7Y

pith:2003:AAI5GB7YEH2FIGEPPA5Z4U3OZU

not attested not anchored not stored refs pending

Uniform embeddings of bounded geometry spaces into reflexive Banach space

Erik Guentner, Nathanial Brown

arxiv:math/0309198 v1 · 2003-09-11 · math.OA · 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{AAI5GB7YEH2FIGEPPA5Z4U3OZU}

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	2026-05-18T01:05:28.634227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0011d307f821f454188f783b9e536ecd1e26f1f10960e6885bfe41cf7e5d5254

Aliases

arxiv: math/0309198 · arxiv_version: math/0309198v1 · doi: 10.48550/arxiv.math/0309198 · pith_short_12: AAI5GB7YEH2F · pith_short_16: AAI5GB7YEH2FIGEP · pith_short_8: AAI5GB7Y

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/AAI5GB7YEH2FIGEPPA5Z4U3OZU \
  | 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: 0011d307f821f454188f783b9e536ecd1e26f1f10960e6885bfe41cf7e5d5254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb189a4348d1be7b495bd37b35f727608b3bfdd58467abdd71f6c78c071e073",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-09-11T15:41:01Z",
    "title_canon_sha256": "07700323f5dc99493cf48d5cf9f1a2df857c51676dc9824d4aa46875760c1e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309198",
    "kind": "arxiv",
    "version": 1
  }
}