Pith Number

pith:MHVUVMWG

pith:2014:MHVUVMWGL2D4IGK3ZPMISYLW4T

not attested not anchored not stored refs pending

Essential countability of treeable equivalence relations

Benjamin D. Miller, Dominique Lecomte (IMJ), John D. Clemens

arxiv:1408.3801 v1 · 2014-08-17 · 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{MHVUVMWGL2D4IGK3ZPMISYLW4T}

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	2026-05-18T02:45:03.274691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61eb4ab2c65e87c4195bcbd8896176e4e2e47eaa818938db5324f8c633a71211

Aliases

arxiv: 1408.3801 · arxiv_version: 1408.3801v1 · doi: 10.48550/arxiv.1408.3801 · pith_short_12: MHVUVMWGL2D4 · pith_short_16: MHVUVMWGL2D4IGK3 · pith_short_8: MHVUVMWG

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/MHVUVMWGL2D4IGK3ZPMISYLW4T \
  | 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: 61eb4ab2c65e87c4195bcbd8896176e4e2e47eaa818938db5324f8c633a71211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa5f9495f4c5cd7be42f2c03c10c922df4c1735d3a999cd2f6a972dc81bc9d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-17T06:43:07Z",
    "title_canon_sha256": "13a989c060e162292c0a62ec9228bde45eb225213285e21cf51e0b7f27bac476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3801",
    "kind": "arxiv",
    "version": 1
  }
}