Pith Number

pith:UV3LUJ5P

pith:2011:UV3LUJ5P3W4URTZZP74Y5PMGIL

not attested not anchored not stored refs pending

Analytic equivalence relations and bi-embedability

Luca Motto Ros, Sy-David Friedman

arxiv:1112.0344 v1 · 2011-12-01 · 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{UV3LUJ5P3W4URTZZP74Y5PMGIL}

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	2026-05-18T04:07:07.435947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a576ba27afddb948cf397ff98ebd8642ec83eccd34a0118d1c3baed8134ea6c1

Aliases

arxiv: 1112.0344 · arxiv_version: 1112.0344v1 · doi: 10.48550/arxiv.1112.0344 · pith_short_12: UV3LUJ5P3W4U · pith_short_16: UV3LUJ5P3W4URTZZ · pith_short_8: UV3LUJ5P

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/UV3LUJ5P3W4URTZZP74Y5PMGIL \
  | 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: a576ba27afddb948cf397ff98ebd8642ec83eccd34a0118d1c3baed8134ea6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a71b0d9c1e190f21d5068220f715e89ff758e53ed229c74b4ef038b212cb779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-01T22:20:57Z",
    "title_canon_sha256": "a405ceb1c049b1a2a989b0c52ce3500858ac9c08b1d31e0097950cd85f3651bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0344",
    "kind": "arxiv",
    "version": 1
  }
}