Pith Number

pith:3DWJCW4B

pith:2016:3DWJCW4BC5ZOYNGGDDD3OPSYA6

not attested not anchored not stored refs pending

Some manifolds of Khinchin type for convergence

David Simmons

arxiv:1602.01727 v1 · 2016-02-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DWJCW4BC5ZOYNGGDDD3OPSYA6}

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	2026-05-18T01:21:18.246593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ec915b811772ec34c618c7b73e5807a3c285e2400c887b96bb7e0c15e1019c

Aliases

arxiv: 1602.01727 · arxiv_version: 1602.01727v1 · doi: 10.48550/arxiv.1602.01727 · pith_short_12: 3DWJCW4BC5ZO · pith_short_16: 3DWJCW4BC5ZOYNGG · pith_short_8: 3DWJCW4B

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/3DWJCW4BC5ZOYNGGDDD3OPSYA6 \
  | 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: d8ec915b811772ec34c618c7b73e5807a3c285e2400c887b96bb7e0c15e1019c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2a71ad968208bc9fb1cde77d2fa2ea901840d8ab540d17c98c6738153d336e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-04T16:18:50Z",
    "title_canon_sha256": "60298f2d648fb7e4c91d32aebd215a714221c92cdf4c8c5eb5fd99123cb3facb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01727",
    "kind": "arxiv",
    "version": 1
  }
}