Pith Number

pith:OLS6XMW2

pith:2015:OLS6XMW2ZREC4J7KPOCB7LKKTY

not attested not anchored not stored refs pending

Closed graph theorems for bornological spaces

Federico Bambozzi

arxiv:1508.01563 v1 · 2015-08-06 · 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{OLS6XMW2ZREC4J7KPOCB7LKKTY}

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	2026-05-18T01:35:39.401240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e5ebb2dacc482e27ea7b841fad4a9e081e32537ee134f1349b743e01642a2c

Aliases

arxiv: 1508.01563 · arxiv_version: 1508.01563v1 · doi: 10.48550/arxiv.1508.01563 · pith_short_12: OLS6XMW2ZREC · pith_short_16: OLS6XMW2ZREC4J7K · pith_short_8: OLS6XMW2

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/OLS6XMW2ZREC4J7KPOCB7LKKTY \
  | 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: 72e5ebb2dacc482e27ea7b841fad4a9e081e32537ee134f1349b743e01642a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850bc8e92cf5707c961529536f0e161aff3b4df53ecf872f1f30ebb4d963dfe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-06T23:07:27Z",
    "title_canon_sha256": "ee6ac173325bd84f696930913c8af51773d9819676992bb3a94ca338395b1d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01563",
    "kind": "arxiv",
    "version": 1
  }
}