Pith Number

pith:VJVKILCF

pith:2015:VJVKILCF5MQ27WJR67XPKAHR6C

not attested not anchored not stored refs pending

Continuous self-similarity in parametric piecewise isometries

Franco Vivaldi, John H Lowenstein

arxiv:1508.05885 v1 · 2015-08-24 · 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{VJVKILCF5MQ27WJR67XPKAHR6C}

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	2026-05-18T01:34:51.488952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6aa42c45eb21afd931f7eef500f1f08a3862e07286262373f0a346c4f3f6a3

Aliases

arxiv: 1508.05885 · arxiv_version: 1508.05885v1 · doi: 10.48550/arxiv.1508.05885 · pith_short_12: VJVKILCF5MQ2 · pith_short_16: VJVKILCF5MQ27WJR · pith_short_8: VJVKILCF

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/VJVKILCF5MQ27WJR67XPKAHR6C \
  | 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: aa6aa42c45eb21afd931f7eef500f1f08a3862e07286262373f0a346c4f3f6a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f98154072a8649713730b155acfc33afce6207271944b71c1d83974e69c862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-24T17:33:05Z",
    "title_canon_sha256": "f19ee9624bb92c9295e1c0cd64285be28fd134abdfbf0adadd80273e14719b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05885",
    "kind": "arxiv",
    "version": 1
  }
}