Pith Number

pith:FQKUMWER

pith:2013:FQKUMWERNFLSAQ4UMNERLOIQVO

not attested not anchored not stored refs pending

On a generalization of the Neukirch-Uchida theorem

Alexander Ivanov

arxiv:1309.3046 v1 · 2013-09-12 · 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{FQKUMWERNFLSAQ4UMNERLOIQVO}

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	2026-05-18T03:13:32.984231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c154658916957204394634915b910aba9052fe4703f10b632ce85990d683708

Aliases

arxiv: 1309.3046 · arxiv_version: 1309.3046v1 · doi: 10.48550/arxiv.1309.3046 · pith_short_12: FQKUMWERNFLS · pith_short_16: FQKUMWERNFLSAQ4U · pith_short_8: FQKUMWER

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/FQKUMWERNFLSAQ4UMNERLOIQVO \
  | 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: 2c154658916957204394634915b910aba9052fe4703f10b632ce85990d683708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1847fd1af86dac86fa0af7f10cd5a370845fed47b2e5593dbdd704dbe9e673f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-12T06:48:28Z",
    "title_canon_sha256": "40ba8a0e87688b760730b05e5cb8011f300d73eb2c2468c5cba8b3f6222e6bb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3046",
    "kind": "arxiv",
    "version": 1
  }
}