Pith Number

pith:UY5UZM3C

pith:2017:UY5UZM3C2GG7KZKSYW4C6RUZDJ

not attested not anchored not stored refs pending

On optimal Scott sentences of finitely generated algebraic structures

Matthew Harrison-Trainor, Meng-Che Ho

arxiv:1702.06448 v1 · 2017-02-21 · 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{UY5UZM3C2GG7KZKSYW4C6RUZDJ}

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	2026-05-18T00:50:14.099361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63b4cb362d18df56552c5b82f46991a6ca9c435f0a75a08f113f3b706b1a919

Aliases

arxiv: 1702.06448 · arxiv_version: 1702.06448v1 · doi: 10.48550/arxiv.1702.06448 · pith_short_12: UY5UZM3C2GG7 · pith_short_16: UY5UZM3C2GG7KZKS · pith_short_8: UY5UZM3C

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/UY5UZM3C2GG7KZKSYW4C6RUZDJ \
  | 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: a63b4cb362d18df56552c5b82f46991a6ca9c435f0a75a08f113f3b706b1a919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3638e48c5d578adaccb061ff6fd53dc6de87018a16945d6817f57950a92d4ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-02-21T15:46:28Z",
    "title_canon_sha256": "6d78a7c0c10b75672168ee5a09182c74bb1fc90d42905f747a7d71c9b18bbfe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06448",
    "kind": "arxiv",
    "version": 1
  }
}