Pith Number

pith:CILBI743

pith:2012:CILBI743CAHKVST6ZHGIW5NOAO

not attested not anchored not stored refs pending

On totally real numbers and equidistribution

Paul Fili, Zachary Miner

arxiv:1210.7887 v1 · 2012-10-30 · 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{CILBI743CAHKVST6ZHGIW5NOAO}

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	2026-05-18T03:41:57.796757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1216147f9b100eaaca7ec9cc8b75ae03953c242bce3c1c4c4c0b8be487b770ac

Aliases

arxiv: 1210.7887 · arxiv_version: 1210.7887v1 · doi: 10.48550/arxiv.1210.7887 · pith_short_12: CILBI743CAHK · pith_short_16: CILBI743CAHKVST6 · pith_short_8: CILBI743

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/CILBI743CAHKVST6ZHGIW5NOAO \
  | 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: 1216147f9b100eaaca7ec9cc8b75ae03953c242bce3c1c4c4c0b8be487b770ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd03dfab9d17198e0c1dc80bd933f6ffff81945a145a18e0829939fe28fa03ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-30T02:28:15Z",
    "title_canon_sha256": "8174c5aee17a57948b7b5ab8290f5d21ac2c713fdae88572dc082bdab7783154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7887",
    "kind": "arxiv",
    "version": 1
  }
}