Pith Number

pith:GWNJIH67

pith:2015:GWNJIH674MS5EQ3A7QJSRZFW2C

not attested not anchored not stored refs pending

Extension operators on balls and on spaces of finite sets

Antonio Avil\'es, Witold Marciszewski

arxiv:1502.01875 v1 · 2015-02-06 · 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{GWNJIH674MS5EQ3A7QJSRZFW2C}

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	2026-05-18T02:27:50.499707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

359a941fdfe325d24360fc1328e4b6d083b65840a896d81833f750d7f89e4365

Aliases

arxiv: 1502.01875 · arxiv_version: 1502.01875v1 · doi: 10.48550/arxiv.1502.01875 · pith_short_12: GWNJIH674MS5 · pith_short_16: GWNJIH674MS5EQ3A · pith_short_8: GWNJIH67

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/GWNJIH674MS5EQ3A7QJSRZFW2C \
  | 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: 359a941fdfe325d24360fc1328e4b6d083b65840a896d81833f750d7f89e4365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d53028f1446b08a067fa1945fb1b11d7bd8c27d10970f01390e4a547d3cc6f0",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-06T12:58:07Z",
    "title_canon_sha256": "ccedc066beeeb2ae64c13a2afbb53ebbfa99955c9e9d0f60dc78b6df58ac6c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01875",
    "kind": "arxiv",
    "version": 1
  }
}