Pith Number

pith:HX3KD5KH

pith:2014:HX3KD5KHMSNNX3EMP24BEJTZ5W

not attested not anchored not stored refs pending

Linear equations in primes and dynamics of nilmanifolds

Tamar Ziegler

arxiv:1404.0775 v1 · 2014-04-03 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HX3KD5KHMSNNX3EMP24BEJTZ5W}

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	2026-05-18T02:54:55.560602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df6a1f547649adbec8c7eb8122679edb68c5b85eb5e243c743739db92f50a5d

Aliases

arxiv: 1404.0775 · arxiv_version: 1404.0775v1 · doi: 10.48550/arxiv.1404.0775 · pith_short_12: HX3KD5KHMSNN · pith_short_16: HX3KD5KHMSNNX3EM · pith_short_8: HX3KD5KH

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/HX3KD5KHMSNNX3EMP24BEJTZ5W \
  | 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: 3df6a1f547649adbec8c7eb8122679edb68c5b85eb5e243c743739db92f50a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd2933212a87588f47a13f70c410b62d34a1f1f504d3976d0efb7e682c44fdd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-03T06:42:51Z",
    "title_canon_sha256": "c881462f6b145cf6d097275ba4c7b5b1c7c501c95572fbc2d6c1ec8cfeb66caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0775",
    "kind": "arxiv",
    "version": 1
  }
}