Pith Number

pith:KHET7WGV

pith:2019:KHET7WGVYKSF3QZJNEQ3ZMREKT

not attested not anchored not stored refs pending

Asymptotic pairs in positive-entropy systems

Bernard Host, Fran\c{c}ois Blanchard, Sylvie Ruette

arxiv:1901.00327 v1 · 2019-01-02 · 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{KHET7WGVYKSF3QZJNEQ3ZMREKT}

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	2026-05-17T23:57:06.365083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c93fd8d5c2a45dc3296921bcb22454fe659a4707ea7c646660c543a0150b98

Aliases

arxiv: 1901.00327 · arxiv_version: 1901.00327v1 · doi: 10.48550/arxiv.1901.00327 · pith_short_12: KHET7WGVYKSF · pith_short_16: KHET7WGVYKSF3QZJ · pith_short_8: KHET7WGV

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/KHET7WGVYKSF3QZJNEQ3ZMREKT \
  | 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: 51c93fd8d5c2a45dc3296921bcb22454fe659a4707ea7c646660c543a0150b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead2da07d8b03f7efa3b65f117fd2b0cfac75c4210d9760a0483c46aa15cd25e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-02T11:31:45Z",
    "title_canon_sha256": "3288011b8c5bebad45580ed8a573284d0ddeb055b5998cb9e6aaa77678b6cb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00327",
    "kind": "arxiv",
    "version": 1
  }
}