Pith Number

pith:AFPW7PO3

pith:2011:AFPW7PO3OTX7DGB2BQMNUIQ7L6

not attested not anchored not stored refs pending

Chebotarev Sets

Hershy Kisilevsky, Michael O. Rubinstein

arxiv:1112.4945 v6 · 2011-12-21 · 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{AFPW7PO3OTX7DGB2BQMNUIQ7L6}

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	2026-05-18T02:29:32.666368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015f6fbddb74eff1983a0c18da221f5fbb163c5cf0d8fc79d17d784add07d818

Aliases

arxiv: 1112.4945 · arxiv_version: 1112.4945v6 · doi: 10.48550/arxiv.1112.4945 · pith_short_12: AFPW7PO3OTX7 · pith_short_16: AFPW7PO3OTX7DGB2 · pith_short_8: AFPW7PO3

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/AFPW7PO3OTX7DGB2BQMNUIQ7L6 \
  | 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: 015f6fbddb74eff1983a0c18da221f5fbb163c5cf0d8fc79d17d784add07d818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068c0c1e82043d7a9c8363c2fb450f524be0d7da98a654cf77a4811034173223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-21T08:13:14Z",
    "title_canon_sha256": "b5591324ad00e0a21fe8964c1efffa4e92e999fa984900479b0a59641d405208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4945",
    "kind": "arxiv",
    "version": 6
  }
}