Pith Number

pith:K2PK7DGR

pith:2012:K2PK7DGRM2T3HEMCEZXJC455F4

not attested not anchored not stored refs pending

A twisted theorem of Chebotarev

Ivan Toma\v{s}i\'c

arxiv:1210.3571 v1 · 2012-10-12 · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2PK7DGRM2T3HEMCEZXJC455F4}

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	2026-05-18T02:57:53.234993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569eaf8cd166a7b39182266e9173bd2f32c8f2a8a3e4449e94b35a76b2f8baee

Aliases

arxiv: 1210.3571 · arxiv_version: 1210.3571v1 · doi: 10.48550/arxiv.1210.3571 · pith_short_12: K2PK7DGRM2T3 · pith_short_16: K2PK7DGRM2T3HEMC · pith_short_8: K2PK7DGR

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/K2PK7DGRM2T3HEMCEZXJC455F4 \
  | 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: 569eaf8cd166a7b39182266e9173bd2f32c8f2a8a3e4449e94b35a76b2f8baee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad44818db0eedcf00a3e66c68778acb787ec18f15d6834a27477746496527034",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-12T16:56:12Z",
    "title_canon_sha256": "3604560551c3ee2bd91e9bab1db3b2f727484934c895b2ae63b78d1b5087a126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3571",
    "kind": "arxiv",
    "version": 1
  }
}