Pith. sign in
Pith Number

pith:OP5I7LSR

pith:2021:OP5I7LSRQTWNMX7DML2PVZWWMH
not attested not anchored not stored refs pending

Generalized active information: extensions to unbounded domains

Daniel Andr\'es D\'iaz-Pach\'on, Robert J. Marks II

arxiv:2111.06865 v1 · 2021-11-12 · cs.IT · math.IT · math.ST · physics.data-an · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OP5I7LSRQTWNMX7DML2PVZWWMH}

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 2026-07-05T03:31:18.824858Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

73fa8fae5184ecd65fe362f4fae6d661e4fb24f29d2765a4598ac9a61b84f1be

Aliases

arxiv: 2111.06865 · arxiv_version: 2111.06865v1 · doi: 10.48550/arxiv.2111.06865 · pith_short_12: OP5I7LSRQTWN · pith_short_16: OP5I7LSRQTWNMX7D · pith_short_8: OP5I7LSR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OP5I7LSRQTWNMX7DML2PVZWWMH \
  | 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: 73fa8fae5184ecd65fe362f4fae6d661e4fb24f29d2765a4598ac9a61b84f1be
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "80728c9b72cc9917c1370828b3e079505b916754f5fbc1e722f81bca48ff9a9b",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-11-12T18:36:32Z",
    "title_canon_sha256": "a5e8a498b9d050eda900729a683b08bbda6049ca533a40442233c4b4d450f297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06865",
    "kind": "arxiv",
    "version": 1
  }
}