pith. sign in
Pith Number

pith:2FP77WMR

pith:2013:2FP77WMRICXHRSSVC6WVPZMNMH
not attested not anchored not stored refs pending

The right angle to look at orthogonal sets

Frank Olaf Wagner

arxiv:1310.6275 v5 · 2013-10-23 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2FP77WMRICXHRSSVC6WVPZMNMH}

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 2026-05-18T01:11:27.669476Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d15fffd99140ae78ca5517ad57e58d61f1db1036aa0e5bfc4cfaa999cd3d0dc3

Aliases

arxiv: 1310.6275 · arxiv_version: 1310.6275v5 · doi: 10.48550/arxiv.1310.6275 · pith_short_12: 2FP77WMRICXH · pith_short_16: 2FP77WMRICXHRSSV · pith_short_8: 2FP77WMR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2FP77WMRICXHRSSVC6WVPZMNMH \
  | 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: d15fffd99140ae78ca5517ad57e58d61f1db1036aa0e5bfc4cfaa999cd3d0dc3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "28c5fca8cbf08d0aea9c129013217c094667f77aacedce5524e668a006f1f3d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-23T16:16:04Z",
    "title_canon_sha256": "26681cf7cd0a2961bd23b8e774d5fd7c65d5812ce48c14dd61dbb6e56ed13dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6275",
    "kind": "arxiv",
    "version": 5
  }
}