Pith Number

pith:VGJCKVKE

pith:2011:VGJCKVKEDIUKJKY2U6ZEDXRRFH

not attested not anchored not stored refs pending

On fixed points of a generalized multidimensional affine recursion

Mariusz Mirek

arxiv:1111.1756 v1 · 2011-11-07 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGJCKVKEDIUKJKY2U6ZEDXRRFH}

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	2026-05-18T04:09:24.785314Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9922555441a28a4ab1aa7b241de3129dae7617b29b9a7678c79ed7e635e006a

Aliases

arxiv: 1111.1756 · arxiv_version: 1111.1756v1 · doi: 10.48550/arxiv.1111.1756 · pith_short_12: VGJCKVKEDIUK · pith_short_16: VGJCKVKEDIUKJKY2 · pith_short_8: VGJCKVKE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VGJCKVKEDIUKJKY2U6ZEDXRRFH \
  | 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: a9922555441a28a4ab1aa7b241de3129dae7617b29b9a7678c79ed7e635e006a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273f03b1c27e80cd3c3cdb421f793bf7a74fd4711a24304483008d5e763545ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-07T21:50:31Z",
    "title_canon_sha256": "2c105bada813de36560461acd5af173a4c2ec068564501597f1b7d245c527664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1756",
    "kind": "arxiv",
    "version": 1
  }
}