pith. sign in
Pith Number

pith:7FXIGVYU

pith:2012:7FXIGVYUEZYNDOPQGN7WESZ4TM
not attested not anchored not stored refs pending

Generic stability and stability

Anand Pillay, Enrique Casanovas, Hans Adler

arxiv:1210.5957 v1 · 2012-10-22 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7FXIGVYUEZYNDOPQGN7WESZ4TM}

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 2026-05-18T03:42:34.617308Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f96e8357142670d1b9f0337f624b3c9b282144856f0bd89f72d8dcc55412be05

Aliases

arxiv: 1210.5957 · arxiv_version: 1210.5957v1 · doi: 10.48550/arxiv.1210.5957 · pith_short_12: 7FXIGVYUEZYN · pith_short_16: 7FXIGVYUEZYNDOPQ · pith_short_8: 7FXIGVYU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7FXIGVYUEZYNDOPQGN7WESZ4TM \
  | 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: f96e8357142670d1b9f0337f624b3c9b282144856f0bd89f72d8dcc55412be05
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3ef17170782a05fcbe00054f89ca26632c861a0e827ba4ec204a9a385c39dcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-22T16:26:05Z",
    "title_canon_sha256": "fd1e01240d7223c9472dbee555dcd121812a83e2acc5b6b0aab46e00b0a69874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5957",
    "kind": "arxiv",
    "version": 1
  }
}