Pith Number

pith:JCKWTUYQ

pith:2015:JCKWTUYQ4WQNKKTJ4CFZVZXBRF

not attested not anchored not stored refs pending

Bi-Lipschitz bijections of $\mathbb{Z}$

Alexander Shamov, Itai Benjamini

arxiv:1509.07670 v1 · 2015-09-25 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCKWTUYQ4WQNKKTJ4CFZVZXBRF}

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	2026-05-18T01:32:02.224139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489569d310e5a0d52a69e08b9ae6e1895c02fc359f0c08945b77c2f136f726ac

Aliases

arxiv: 1509.07670 · arxiv_version: 1509.07670v1 · doi: 10.48550/arxiv.1509.07670 · pith_short_12: JCKWTUYQ4WQN · pith_short_16: JCKWTUYQ4WQNKKTJ · pith_short_8: JCKWTUYQ

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/JCKWTUYQ4WQNKKTJ4CFZVZXBRF \
  | 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: 489569d310e5a0d52a69e08b9ae6e1895c02fc359f0c08945b77c2f136f726ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135edc99ef4eb36b4bdebb92bf8cac9a2b5df821d010b91abf84115eda9edbbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-25T10:53:55Z",
    "title_canon_sha256": "4be3d69bf1a87e2c0e7c74f821bf39a0ef28177484e5b5ab0a08233db6947b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07670",
    "kind": "arxiv",
    "version": 1
  }
}