Pith Number

pith:B5VR7T3Y

pith:2012:B5VR7T3YYZXWNUCFXGMXHTQNCI

not attested not anchored not stored refs pending

The variational capacity with respect to nonopen sets in metric spaces

Anders Bj\"orn, Jana Bj\"orn

arxiv:1210.0352 v1 · 2012-10-01 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5VR7T3YYZXWNUCFXGMXHTQNCI}

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	2026-05-18T02:43:52.512644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6b1fcf78c66f66d045b99973ce0d122217f25984c22efc3542cca569632422

Aliases

arxiv: 1210.0352 · arxiv_version: 1210.0352v1 · doi: 10.48550/arxiv.1210.0352 · pith_short_12: B5VR7T3YYZXW · pith_short_16: B5VR7T3YYZXWNUCF · pith_short_8: B5VR7T3Y

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/B5VR7T3YYZXWNUCFXGMXHTQNCI \
  | 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: 0f6b1fcf78c66f66d045b99973ce0d122217f25984c22efc3542cca569632422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c81a91d6e83faa362b29410afff3efd6b1e037595fdb63621a4a5691c81958a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-01T11:14:19Z",
    "title_canon_sha256": "18ab13a55396a0b27e62dc759a18057a557ccff1f024152f5f2cc75ec106c88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0352",
    "kind": "arxiv",
    "version": 1
  }
}