pith. sign in
Pith Number

pith:EA4L7HU3

pith:2012:EA4L7HU3H4SLOIEZRAOUROO3CJ
not attested not anchored not stored refs pending

Cupping with random sets

Adam R. Day, Joseph S. Miller

arxiv:1206.1603 v1 · 2012-06-07 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EA4L7HU3H4SLOIEZRAOUROO3CJ}

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 2026-05-18T03:54:03.726162Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2038bf9e9b3f24b72099881d48b9db1242738f682b84e2709be024db4d1d9c08

Aliases

arxiv: 1206.1603 · arxiv_version: 1206.1603v1 · doi: 10.48550/arxiv.1206.1603 · pith_short_12: EA4L7HU3H4SL · pith_short_16: EA4L7HU3H4SLOIEZ · pith_short_8: EA4L7HU3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EA4L7HU3H4SLOIEZRAOUROO3CJ \
  | 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: 2038bf9e9b3f24b72099881d48b9db1242738f682b84e2709be024db4d1d9c08
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d465cbbd02a38a91dc5fd9d4ba71cec57c859d581e6d83243a59c6cebfc361de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-07T20:17:55Z",
    "title_canon_sha256": "4b054d7a1e437d1e02c899e0a3fdcefac18451092dbf57963636f18ec48f5a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1603",
    "kind": "arxiv",
    "version": 1
  }
}