Pith Number

pith:42BQRQMU

pith:2012:42BQRQMUYFW4OMHVJUDRCEV3QC

not attested not anchored not stored refs pending

Inductive topological Hausdorff dimensions and fibers of generic continuous functions

Rich\'ard Balka

arxiv:1211.2872 v3 · 2012-11-13 · math.CA · 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{42BQRQMUYFW4OMHVJUDRCEV3QC}

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	2026-05-18T02:54:21.688748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68308c194c16dc730f54d071112bb809b5cee794194bca7ec3f86a6b99315e9

Aliases

arxiv: 1211.2872 · arxiv_version: 1211.2872v3 · doi: 10.48550/arxiv.1211.2872 · pith_short_12: 42BQRQMUYFW4 · pith_short_16: 42BQRQMUYFW4OMHV · pith_short_8: 42BQRQMU

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/42BQRQMUYFW4OMHVJUDRCEV3QC \
  | 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: e68308c194c16dc730f54d071112bb809b5cee794194bca7ec3f86a6b99315e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e18aeb447af9c424829dc2971ed5cd8f26ae0c27a41c9598f8300be8d84455d",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-13T02:00:06Z",
    "title_canon_sha256": "3420ae2fb014ff58653aeb2c345f23c1b6ccafa8e41c16295e9fd30058c4ab69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2872",
    "kind": "arxiv",
    "version": 3
  }
}