Pith Number

pith:O7DX2JQ5

pith:2015:O7DX2JQ5RG7AQKCZKKAGSHEGTU

not attested not anchored not stored refs pending

Equivalence Relations Which Are Borel Somewhere

William Chan

arxiv:1511.07981 v2 · 2015-11-25 · 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{O7DX2JQ5RG7AQKCZKKAGSHEGTU}

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	2026-05-18T01:24:45.422598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c77d261d89be0828595280691c869d37988be5922441f493960357b81c98b6

Aliases

arxiv: 1511.07981 · arxiv_version: 1511.07981v2 · doi: 10.48550/arxiv.1511.07981 · pith_short_12: O7DX2JQ5RG7A · pith_short_16: O7DX2JQ5RG7AQKCZ · pith_short_8: O7DX2JQ5

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/O7DX2JQ5RG7AQKCZKKAGSHEGTU \
  | 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: 77c77d261d89be0828595280691c869d37988be5922441f493960357b81c98b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a84808cd29bfc0ebac41010b5cc40c352fdd43d4a3bf38156a97ec3afca55b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-25T07:53:29Z",
    "title_canon_sha256": "63c075b5ccd762d641c80005f55e00f68d48979f8ad0507ed04174a043fbbd4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07981",
    "kind": "arxiv",
    "version": 2
  }
}