Pith Number

pith:GK2C5EAU

pith:2017:GK2C5EAUIBYC7O7TTCXGZZ3NE6

not attested not anchored not stored refs pending

Definable Combinatorics of Some Borel Equivalence Relations

Connor Meehan, William Chan

arxiv:1709.04567 v1 · 2017-09-13 · 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{GK2C5EAUIBYC7O7TTCXGZZ3NE6}

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	2026-05-18T00:35:11.278098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b42e901440702fbbf398ae6ce76d2799b1332f61708e8e6c418da94c2889b3

Aliases

arxiv: 1709.04567 · arxiv_version: 1709.04567v1 · doi: 10.48550/arxiv.1709.04567 · pith_short_12: GK2C5EAUIBYC · pith_short_16: GK2C5EAUIBYC7O7T · pith_short_8: GK2C5EAU

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/GK2C5EAUIBYC7O7TTCXGZZ3NE6 \
  | 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: 32b42e901440702fbbf398ae6ce76d2799b1332f61708e8e6c418da94c2889b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8d0c5354a7f3e1d536dafbd106bc657bef75589423ed919b80bb0760fa855e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-09-13T23:48:10Z",
    "title_canon_sha256": "919ac86bfc6001731faf802b612c1d24ed3dc9f4f4223462be9dc1b76c8b3b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04567",
    "kind": "arxiv",
    "version": 1
  }
}