Pith Number

pith:4KPKHF2X

pith:2018:4KPKHF2XYU7DVG6DS6BBBF6A4A

not attested not anchored not stored refs pending

Variations on the Feferman-Vaught Theorem, with applications to $\prod_p \mathbb{F}_p$

Alexander Van Abel, Alice Medvedev

arxiv:1812.02905 v1 · 2018-12-07 · 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{4KPKHF2XYU7DVG6DS6BBBF6A4A}

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	2026-05-17T23:58:51.462534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29ea39757c53e3a9bc397821097c0e03ea289012b33e6886050775b405b5b3b

Aliases

arxiv: 1812.02905 · arxiv_version: 1812.02905v1 · doi: 10.48550/arxiv.1812.02905 · pith_short_12: 4KPKHF2XYU7D · pith_short_16: 4KPKHF2XYU7DVG6D · pith_short_8: 4KPKHF2X

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/4KPKHF2XYU7DVG6DS6BBBF6A4A \
  | 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: e29ea39757c53e3a9bc397821097c0e03ea289012b33e6886050775b405b5b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c536eb3446f03a36fa9f0ea159cc8bd1614cf961f3d0a2d74781d9838b408beb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-12-07T04:46:11Z",
    "title_canon_sha256": "57523c4b19fe7e3caea1085f2a9308d6807d4873fbb093bad6dae7b6a938eb00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02905",
    "kind": "arxiv",
    "version": 1
  }
}