Pith Number

pith:TIJXYVD5

pith:2013:TIJXYVD5SDLBGMMVA7CMJENXEX

not attested not anchored not stored refs pending

The Undecidability of the Definability of Principal Subcongruences

Matthew Moore

arxiv:1301.5588 v3 · 2013-01-22 · math.LO · cs.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{TIJXYVD5SDLBGMMVA7CMJENXEX}

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	2026-05-17T23:44:05.051123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a137c547d90d613319507c4c491b725d28ace8432de42b1afe409639e8cc8b5

Aliases

arxiv: 1301.5588 · arxiv_version: 1301.5588v3 · doi: 10.48550/arxiv.1301.5588 · pith_short_12: TIJXYVD5SDLB · pith_short_16: TIJXYVD5SDLBGMMV · pith_short_8: TIJXYVD5

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/TIJXYVD5SDLBGMMVA7CMJENXEX \
  | 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: 9a137c547d90d613319507c4c491b725d28ace8432de42b1afe409639e8cc8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c42271b7dd6fab5c739843783a0710ff66b973c53c6a22b73f73d2c045ca86f",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-01-22T13:33:53Z",
    "title_canon_sha256": "a220899cb8784430ce389e9fb0c742f308a824550cc58f0f93f4ca195a07e7a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5588",
    "kind": "arxiv",
    "version": 3
  }
}