Pith Number

pith:AHBUHOXA

pith:2011:AHBUHOXALWYDLMTPS3MXOB2DK3

not attested not anchored not stored refs pending

Embeddability of locally finite metric spaces into Banach spaces is finitely determined

Mikhail I. Ostrovskii

arxiv:1103.0748 v1 · 2011-03-03 · 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{AHBUHOXALWYDLMTPS3MXOB2DK3}

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	2026-05-18T03:32:45.690336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c343bae05db035b26f96d977074356e5a1c3ab67c4a739d0ca30c266c38b91

Aliases

arxiv: 1103.0748 · arxiv_version: 1103.0748v1 · doi: 10.48550/arxiv.1103.0748 · pith_short_12: AHBUHOXALWYD · pith_short_16: AHBUHOXALWYDLMTP · pith_short_8: AHBUHOXA

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/AHBUHOXALWYDLMTPS3MXOB2DK3 \
  | 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: 01c343bae05db035b26f96d977074356e5a1c3ab67c4a739d0ca30c266c38b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f870b6a3daaa9720b849be7a76b4ae2f883816f37e30bd85124057e8831c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-03T18:16:02Z",
    "title_canon_sha256": "fa4a71dcf7c0d9147379f1e7f357e4a4ebf5afb826af280d35d3a76a54d26b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0748",
    "kind": "arxiv",
    "version": 1
  }
}