Pith Number

pith:54DH67TG

pith:2016:54DH67TGTEUNNUQFRGPUB4ZVZH

not attested not anchored not stored refs pending

Arithmetic Progressions in the Primitive Length Spectrum

Nicholas Miller

arxiv:1602.01869 v1 · 2016-02-04 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54DH67TGTEUNNUQFRGPUB4ZVZH}

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	2026-05-18T01:21:15.152761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef067f7e669928d6d205899f40f335c9da0343f04b06dc5b2a72655af2503e20

Aliases

arxiv: 1602.01869 · arxiv_version: 1602.01869v1 · doi: 10.48550/arxiv.1602.01869 · pith_short_12: 54DH67TGTEUN · pith_short_16: 54DH67TGTEUNNUQF · pith_short_8: 54DH67TG

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/54DH67TGTEUNNUQFRGPUB4ZVZH \
  | 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: ef067f7e669928d6d205899f40f335c9da0343f04b06dc5b2a72655af2503e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cd36226bf57c4c0c026a5437fc8b05dc5c57a8f75affa7fccb87d355278fe7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-04T22:15:09Z",
    "title_canon_sha256": "2364ab0163ad43654e55445b847d6efd5adb91ac7805d3ca01a14b29a3c8cc6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01869",
    "kind": "arxiv",
    "version": 1
  }
}