Pith Number

pith:CZQ4F6TH

pith:2016:CZQ4F6THJS274GRBTTAQINKTLI

not attested not anchored not stored refs pending

Games orbits play and obstructions to Borel reducibility

Aristotelis Panagiotopoulos, Martino Lupini

arxiv:1612.08284 v2 · 2016-12-25 · 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{CZQ4F6THJS274GRBTTAQINKTLI}

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	2026-05-18T00:18:32.019341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1661c2fa674cb5fe1a219cc10435535a3645bcacead1b88ffb512f6c04650fa2

Aliases

arxiv: 1612.08284 · arxiv_version: 1612.08284v2 · doi: 10.48550/arxiv.1612.08284 · pith_short_12: CZQ4F6THJS27 · pith_short_16: CZQ4F6THJS274GRB · pith_short_8: CZQ4F6TH

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/CZQ4F6THJS274GRBTTAQINKTLI \
  | 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: 1661c2fa674cb5fe1a219cc10435535a3645bcacead1b88ffb512f6c04650fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4ed3116354bf34eaba015329c0733e59772bb841c7c9b63d5b65204c28a1f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-25T18:26:36Z",
    "title_canon_sha256": "35a67074f45a79e8fdaea17ac3c37c3e45006cad173f8595bd5c17eeaaa86bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08284",
    "kind": "arxiv",
    "version": 2
  }
}