Pith Number

pith:W544XRSK

pith:2012:W544XRSK5ZWP4PZYC2Q3HWGMA7

not attested not anchored not stored refs pending

Strict independence

Alexander Usvyatsov, Itay Kaplan

arxiv:1208.4062 v2 · 2012-08-20 · 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{W544XRSK5ZWP4PZYC2Q3HWGMA7}

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	2026-05-18T02:41:26.361816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b779cbc64aee6cfe3f3816a1b3d8cc07ff3fce30421dfac14a02551638c3a86c

Aliases

arxiv: 1208.4062 · arxiv_version: 1208.4062v2 · doi: 10.48550/arxiv.1208.4062 · pith_short_12: W544XRSK5ZWP · pith_short_16: W544XRSK5ZWP4PZY · pith_short_8: W544XRSK

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/W544XRSK5ZWP4PZYC2Q3HWGMA7 \
  | 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: b779cbc64aee6cfe3f3816a1b3d8cc07ff3fce30421dfac14a02551638c3a86c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f71bd5d74d1deec16e3182240680631c8b627232f0ed1d7f959a16f1ee1c16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-20T17:29:09Z",
    "title_canon_sha256": "ba8c2b3ee593563a9c3d0bd654c3e8053ddac402941e3c0bb5ad1db1e9219bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4062",
    "kind": "arxiv",
    "version": 2
  }
}