Pith Number

pith:ZRTQ6I7Z

pith:2012:ZRTQ6I7ZTMH433TJ7J4XMPG6W3

not attested not anchored not stored refs pending

On Variants of CM-triviality

Amador Martin-Pizarro (ICJ), Frank Olaf Wagner (ICJ), Thomas Blossier (ICJ)

arxiv:1205.6916 v2 · 2012-05-31 · 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{ZRTQ6I7ZTMH433TJ7J4XMPG6W3}

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	2026-05-18T03:43:07.128933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc670f23f99b0fcdee69fa79763cdeb6c4888150057089fb05d6fe27fc715dbf

Aliases

arxiv: 1205.6916 · arxiv_version: 1205.6916v2 · doi: 10.48550/arxiv.1205.6916 · pith_short_12: ZRTQ6I7ZTMH4 · pith_short_16: ZRTQ6I7ZTMH433TJ · pith_short_8: ZRTQ6I7Z

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/ZRTQ6I7ZTMH433TJ7J4XMPG6W3 \
  | 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: cc670f23f99b0fcdee69fa79763cdeb6c4888150057089fb05d6fe27fc715dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977d469d8f9b48a7e2c8cb957930bda847cb5cadb404bba4c6ebb10090e0bbc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-05-31T08:32:44Z",
    "title_canon_sha256": "2897a87728b6253605cc7452bcde9aa3a64cec81dc7e6690cccaadd24ef1a7b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6916",
    "kind": "arxiv",
    "version": 2
  }
}