Pith Number

pith:JWTBIWDK

pith:2017:JWTBIWDKNBH3J3FNTHWM7X2HNX

not attested not anchored not stored refs pending

The Three Gap Theorem, Interval Exchange Transformations, and Zippered Rectangles

Diaaeldin Taha

arxiv:1708.04380 v2 · 2017-08-15 · math.DS · 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{JWTBIWDKNBH3J3FNTHWM7X2HNX}

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	2026-05-18T00:06:41.574896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da614586a684fb4ecad99eccfdf476dfef8c1e9939693dcec59b9a1830ef1c2

Aliases

arxiv: 1708.04380 · arxiv_version: 1708.04380v2 · doi: 10.48550/arxiv.1708.04380 · pith_short_12: JWTBIWDKNBH3 · pith_short_16: JWTBIWDKNBH3J3FN · pith_short_8: JWTBIWDK

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/JWTBIWDKNBH3J3FNTHWM7X2HNX \
  | 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: 4da614586a684fb4ecad99eccfdf476dfef8c1e9939693dcec59b9a1830ef1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69e67bc829130f377e9296a4f9544c36cef46358a5ec43419a48157363abce6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-15T02:07:34Z",
    "title_canon_sha256": "523d1e62f50612ee47ae0d38d97be89a3a0de0a0b3de109fa6c45d30d0e2a75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04380",
    "kind": "arxiv",
    "version": 2
  }
}