Pith Number

pith:BFAUB6CB

pith:2012:BFAUB6CBTD77PGJNZT2RVNMUUK

not attested not anchored not stored refs pending

Length-expanding Lipschitz maps on totally regular continua

Vladim\'ir \v{S}pitalsk\'y

arxiv:1203.2352 v1 · 2012-03-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFAUB6CBTD77PGJNZT2RVNMUUK}

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	2026-05-18T04:00:25.749618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094140f84198fff7992dccf51ab594a2a4d57700ecae75c7fd11c8a732a94dfe

Aliases

arxiv: 1203.2352 · arxiv_version: 1203.2352v1 · doi: 10.48550/arxiv.1203.2352 · pith_short_12: BFAUB6CBTD77 · pith_short_16: BFAUB6CBTD77PGJN · pith_short_8: BFAUB6CB

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/BFAUB6CBTD77PGJNZT2RVNMUUK \
  | 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: 094140f84198fff7992dccf51ab594a2a4d57700ecae75c7fd11c8a732a94dfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a33a316357bdef80f0edb8fef22cf51f80b7142e53c370797c20b104f075aaf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-11T17:08:18Z",
    "title_canon_sha256": "2b5d0709ae453bc3e5650581ccd3e9ea3b03888e2c4b98d594475f8d967c68b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2352",
    "kind": "arxiv",
    "version": 1
  }
}