Pith Number

pith:U5DFRW53

pith:2018:U5DFRW53XQQSVP2I46ABEAF4ZJ

not attested not anchored not stored refs pending

Invariant multi-graphs in step skew-products

Daniel Oliveira, Katrin Gelfert

arxiv:1807.08837 v1 · 2018-07-23 · 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{U5DFRW53XQQSVP2I46ABEAF4ZJ}

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	2026-05-18T00:09:57.675042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74658dbbbbc212abf48e7801200bcca5db50ceddbdacbe824b1e97638bb21a2

Aliases

arxiv: 1807.08837 · arxiv_version: 1807.08837v1 · doi: 10.48550/arxiv.1807.08837 · pith_short_12: U5DFRW53XQQS · pith_short_16: U5DFRW53XQQSVP2I · pith_short_8: U5DFRW53

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/U5DFRW53XQQSVP2I46ABEAF4ZJ \
  | 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: a74658dbbbbc212abf48e7801200bcca5db50ceddbdacbe824b1e97638bb21a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0398bb4b84f4af2a4a523096e684c70ef8c175df6232f53eace43478e555aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-23T21:34:18Z",
    "title_canon_sha256": "1acf0ce31adce31a6261f4051e93dfbab35142d7d0aa8360e3f266a357b29f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08837",
    "kind": "arxiv",
    "version": 1
  }
}