Pith Number

pith:AUXE4XJO

pith:2013:AUXE4XJOJKWCBOXK5GKXZ2X3RY

not attested not anchored not stored refs pending

Stable sets of primes in number fields

Alexander Ivanov

arxiv:1309.2800 v2 · 2013-09-11 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUXE4XJOJKWCBOXK5GKXZ2X3RY}

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	2026-05-18T01:20:12.498328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052e4e5d2e4aac20baeae9957ceafb8e076140cd88d458703dc14860124d9634

Aliases

arxiv: 1309.2800 · arxiv_version: 1309.2800v2 · doi: 10.48550/arxiv.1309.2800 · pith_short_12: AUXE4XJOJKWC · pith_short_16: AUXE4XJOJKWCBOXK · pith_short_8: AUXE4XJO

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/AUXE4XJOJKWCBOXK5GKXZ2X3RY \
  | 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: 052e4e5d2e4aac20baeae9957ceafb8e076140cd88d458703dc14860124d9634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd1cca3b25dacbf8549f9c7c68e2a8aa67db8b22080aeb9d7604cb24026d9fa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-11T12:12:33Z",
    "title_canon_sha256": "9f48af4053635a73652c6b1088bcb64cb5e9fc011844904296078fc77d1d1e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2800",
    "kind": "arxiv",
    "version": 2
  }
}