pith. sign in
Pith Number

pith:LMJBXB7B

pith:2016:LMJBXB7BSFKBQKHO6VDGHFGZCI
not attested not anchored not stored refs pending

The Countable Admissible Ordinal Equivalence Relation

William Chan

arxiv:1601.07924 v1 · 2016-01-28 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LMJBXB7BSFKBQKHO6VDGHFGZCI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T01:21:41.487118Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5b121b87e191541828eef5466394d912231f14280d85920c96684833b369b7b6

Aliases

arxiv: 1601.07924 · arxiv_version: 1601.07924v1 · doi: 10.48550/arxiv.1601.07924 · pith_short_12: LMJBXB7BSFKB · pith_short_16: LMJBXB7BSFKBQKHO · pith_short_8: LMJBXB7B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LMJBXB7BSFKBQKHO6VDGHFGZCI \
  | 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: 5b121b87e191541828eef5466394d912231f14280d85920c96684833b369b7b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1910f391594db5c56ae997511f28e97375bf711c63c6a58e9c6e59e029b80b25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-28T21:33:29Z",
    "title_canon_sha256": "dfeddc368bf8475fa1c9b262dd78fed87a15a141b7433f600b47eb04f26afbb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07924",
    "kind": "arxiv",
    "version": 1
  }
}