pith. sign in
Pith Number

pith:O5STIBHG

pith:2016:O5STIBHGAYJ2GJWN5XIRX5UBDC
not attested not anchored not stored refs pending

Involutions, Trace Maps, and Pseudorandom Numbers

Davide Schipani, Michele Elia

arxiv:1609.01212 v2 · 2016-09-05 · cs.IT · math.IT · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O5STIBHGAYJ2GJWN5XIRX5UBDC}

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 2026-05-18T01:03:48.393715Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

77653404e60613a326cdedd11bf6811883563c6ee0c1cd5522248e3b2abc9e5f

Aliases

arxiv: 1609.01212 · arxiv_version: 1609.01212v2 · doi: 10.48550/arxiv.1609.01212 · pith_short_12: O5STIBHGAYJ2 · pith_short_16: O5STIBHGAYJ2GJWN · pith_short_8: O5STIBHG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5STIBHGAYJ2GJWN5XIRX5UBDC \
  | 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: 77653404e60613a326cdedd11bf6811883563c6ee0c1cd5522248e3b2abc9e5f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "67a2ebe86ffbb7f6e86b4464aee3fac1e8197bd9dd2d36f8efa44385afc59931",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-05T16:33:23Z",
    "title_canon_sha256": "e4811a3294a0f981ae057831ef97907d4cb6a1ff394c960ffe67214741a954c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01212",
    "kind": "arxiv",
    "version": 2
  }
}