Pith. sign in
Pith Number

pith:BNBQFFE7

pith:2024:BNBQFFE7REHZDJSK7JRW23PSWU
not attested not anchored not stored refs pending

Coupled but distant

Gady Kozma, Itai Benjamini

arxiv:2412.16600 v1 · 2024-12-21 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BNBQFFE7REHZDJSK7JRW23PSWU}

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 2026-07-05T09:52:50.101137Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0b4302949f890f91a64afa636d6df2b5002c4c857f1f27b7b7e90a6e117d7057

Aliases

arxiv: 2412.16600 · arxiv_version: 2412.16600v1 · doi: 10.48550/arxiv.2412.16600 · pith_short_12: BNBQFFE7REHZ · pith_short_16: BNBQFFE7REHZDJSK · pith_short_8: BNBQFFE7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BNBQFFE7REHZDJSK7JRW23PSWU \
  | 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: 0b4302949f890f91a64afa636d6df2b5002c4c857f1f27b7b7e90a6e117d7057
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "01ba6d8e2cf04f02e008f8d81f74d1a1c2ab6cc6908193c715416c512871a897",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-21T12:15:53Z",
    "title_canon_sha256": "7e32669a16328d022ba15f8866b55296e8b7ab3b3cce061ef6daf31afc01584c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16600",
    "kind": "arxiv",
    "version": 1
  }
}