Pith Number

pith:A64K3BUD

pith:2017:A64K3BUD7RENB7NBMKEZIRRTV5

not attested not anchored not stored refs pending

Strong ordered Abelian groups and dp-rank

Rafel Farr\'e

arxiv:1706.05471 v1 · 2017-06-17 · 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{A64K3BUD7RENB7NBMKEZIRRTV5}

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.

Cited by

2 papers in Pith

Trace definability I: preservation and characterizations

Trace definability II: model-theoretic linearity

Receipt and verification

First computed	2026-05-18T00:42:11.547057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b8ad8683fc48d0fda16289944633af66b1c0bcd0c5d24f682fb7170220d7b6

Aliases

arxiv: 1706.05471 · arxiv_version: 1706.05471v1 · doi: 10.48550/arxiv.1706.05471 · pith_short_12: A64K3BUD7REN · pith_short_16: A64K3BUD7RENB7NB · pith_short_8: A64K3BUD

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/A64K3BUD7RENB7NBMKEZIRRTV5 \
  | 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: 07b8ad8683fc48d0fda16289944633af66b1c0bcd0c5d24f682fb7170220d7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85783005a185051fd35f2158785eef09af7235c7a74c64dc0e91910b1ee42ff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-17T03:12:19Z",
    "title_canon_sha256": "e3006db5258e39fad411f4b6ba0fee4bba2966bf122126d60270a3b7cd3cd52a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05471",
    "kind": "arxiv",
    "version": 1
  }
}