Pith Number

pith:7B2LYD57

pith:2019:7B2LYD57HBOC4WE2QUSQRQPGFQ

not attested not anchored not stored refs pending

Generalization of Kuratowski problem in linear spaces

Allahkaram Shafie

arxiv:1902.03299 v1 · 2019-02-08 · 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{7B2LYD57HBOC4WE2QUSQRQPGFQ}

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	2026-05-17T23:54:21.308253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f874bc0fbf385c2e589a852508c1e62c24bc5499b5b6f567dea621e9ded0fc36

Aliases

arxiv: 1902.03299 · arxiv_version: 1902.03299v1 · doi: 10.48550/arxiv.1902.03299 · pith_short_12: 7B2LYD57HBOC · pith_short_16: 7B2LYD57HBOC4WE2 · pith_short_8: 7B2LYD57

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/7B2LYD57HBOC4WE2QUSQRQPGFQ \
  | 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: f874bc0fbf385c2e589a852508c1e62c24bc5499b5b6f567dea621e9ded0fc36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6c023a2d4674229b8e94f63b251da8ffb53d671ffe0d5bf3479b788a58540e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-08T21:49:30Z",
    "title_canon_sha256": "efe82e1d592896f90e0675fdce756649d181311ddb317081d4a07bdaf870ef8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03299",
    "kind": "arxiv",
    "version": 1
  }
}