Pith Number

pith:PBKEY6JP

pith:2019:PBKEY6JPLQ356OJSZXZB7AXE7I

not attested not anchored not stored refs pending

Escaping orbits are also rare in the almost periodic Fermi-Ulam ping-pong

Henrik Schlie{\ss}auf

arxiv:1908.02529 v1 · 2019-08-07 · 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{PBKEY6JPLQ356OJSZXZB7AXE7I}

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	2026-07-04T23:52:09.951851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78544c792f5c37df3932cdf21f82e4fa24cf1c234d2e2ce66057e1c9d117a854

Aliases

arxiv: 1908.02529 · arxiv_version: 1908.02529v1 · doi: 10.48550/arxiv.1908.02529 · pith_short_12: PBKEY6JPLQ35 · pith_short_16: PBKEY6JPLQ356OJS · pith_short_8: PBKEY6JP

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/PBKEY6JPLQ356OJSZXZB7AXE7I \
  | 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: 78544c792f5c37df3932cdf21f82e4fa24cf1c234d2e2ce66057e1c9d117a854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701f8f471360d6b698b18fe8e5a99be00d88a5660f8c1367f8367455103c8035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-07T11:15:22Z",
    "title_canon_sha256": "dc305ea64c7dba6bfda727a24f9d6695655d15ddec0ebfa6341995b705d6239c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02529",
    "kind": "arxiv",
    "version": 1
  }
}