Pith Number

pith:UZRH5Z76

pith:2011:UZRH5Z76DDOIDKTLEBE6XHVZU6

not attested not anchored not stored refs pending

Auerbach bases and minimal volume sufficient enlargements

Mikhail I. Ostrovskii

arxiv:1103.0997 v1 · 2011-03-05 · 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{UZRH5Z76DDOIDKTLEBE6XHVZU6}

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	2026-05-18T03:32:45.680158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6627ee7fe18dc81aa6b2049eb9eb9a7beff247d862d1f2bc267b854725ae91d

Aliases

arxiv: 1103.0997 · arxiv_version: 1103.0997v1 · doi: 10.48550/arxiv.1103.0997 · pith_short_12: UZRH5Z76DDOI · pith_short_16: UZRH5Z76DDOIDKTL · pith_short_8: UZRH5Z76

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/UZRH5Z76DDOIDKTLEBE6XHVZU6 \
  | 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: a6627ee7fe18dc81aa6b2049eb9eb9a7beff247d862d1f2bc267b854725ae91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd77f0515bb9037d88d8b1916176d21b98344ed1dd741f3c9e1d199d6eaf612d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-05T00:00:03Z",
    "title_canon_sha256": "f2ae713726a75d419de9f479c8897796ca92303ce8615a449575d745daf21972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0997",
    "kind": "arxiv",
    "version": 1
  }
}