Pith Number

pith:4M34WLBR

pith:2012:4M34WLBR6JX2PJ5JIBNC5YZ4TZ

not attested not anchored not stored refs pending

Equidistribution and the heights of totally real and totally p-adic numbers

Paul Fili, Zachary Miner

arxiv:1210.7885 v1 · 2012-10-30 · 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{4M34WLBR6JX2PJ5JIBNC5YZ4TZ}

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	2026-05-18T03:41:57.817880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e337cb2c31f26fa7a7a9405a2ee33c9e52c5fe0f7f52b7c94f576fa3198cfe3f

Aliases

arxiv: 1210.7885 · arxiv_version: 1210.7885v1 · doi: 10.48550/arxiv.1210.7885 · pith_short_12: 4M34WLBR6JX2 · pith_short_16: 4M34WLBR6JX2PJ5J · pith_short_8: 4M34WLBR

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/4M34WLBR6JX2PJ5JIBNC5YZ4TZ \
  | 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: e337cb2c31f26fa7a7a9405a2ee33c9e52c5fe0f7f52b7c94f576fa3198cfe3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c255485196bdd8f821f5c5ba215be0ff8910f6c3a5a097a1d3de1982bcef2b66",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-30T02:20:19Z",
    "title_canon_sha256": "69d967ab7e61a5733c4d8b8d972a3f60f58c2eec023fb3eedacf1be534ca2c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7885",
    "kind": "arxiv",
    "version": 1
  }
}