Pith Number

pith:PAJDLGIY

pith:2018:PAJDLGIYT6JJFN4EHPPEL62EQ2

not attested not anchored not stored refs pending

Frequency of Rational Fractions on [0, 1]

Dawei Lu, Zongwei Zhou

arxiv:1802.00936 v1 · 2018-02-03 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAJDLGIYT6JJFN4EHPPEL62EQ2}

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	2026-05-18T00:24:27.824294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78123599189f9292b7843bde45fb4486b048382fe10b16abf1429483eb5c24ae

Aliases

arxiv: 1802.00936 · arxiv_version: 1802.00936v1 · doi: 10.48550/arxiv.1802.00936 · pith_short_12: PAJDLGIYT6JJ · pith_short_16: PAJDLGIYT6JJFN4E · pith_short_8: PAJDLGIY

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/PAJDLGIYT6JJFN4EHPPEL62EQ2 \
  | 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: 78123599189f9292b7843bde45fb4486b048382fe10b16abf1429483eb5c24ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001d427ddf457fd7094df263ea7f99d93f8defccc1e31c9d08708a79ec103a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-02-03T08:39:00Z",
    "title_canon_sha256": "71e4b95ee59a1f3dbeb9deb5a751a6888bbb02d53b77996261d1a8ce131c9f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00936",
    "kind": "arxiv",
    "version": 1
  }
}