pith. sign in
Pith Number

pith:WZW34IOO

pith:2012:WZW34IOOALJDA3RJKLM6QKAV64
not attested not anchored not stored refs pending

Reflexivity and connectedness

Sean Sather-Wagstaff

arxiv:1212.0131 v1 · 2012-12-01 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZW34IOOALJDA3RJKLM6QKAV64}

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 2026-05-18T03:39:27.171858Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b66dbe21ce02d2306e2952d9e82815f724945888d6caf81044c5d2e182d04194

Aliases

arxiv: 1212.0131 · arxiv_version: 1212.0131v1 · doi: 10.48550/arxiv.1212.0131 · pith_short_12: WZW34IOOALJD · pith_short_16: WZW34IOOALJDA3RJ · pith_short_8: WZW34IOO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZW34IOOALJDA3RJKLM6QKAV64 \
  | 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: b66dbe21ce02d2306e2952d9e82815f724945888d6caf81044c5d2e182d04194
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6252d1743d462b817edcf6295cca315b1cb3db6d3450dd9b09fd0325acbfe4f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-01T16:42:48Z",
    "title_canon_sha256": "eb1383796b54b5b31a83c68e2b6769ba249e87c82d89b2641c680f34580a965e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0131",
    "kind": "arxiv",
    "version": 1
  }
}