Pith Number

pith:XMZ75QGY

pith:2012:XMZ75QGYJIZNWNB4S5M6IOWOES

not attested not anchored not stored refs pending

Linearly recursive sequences and Dynkin diagrams

Christophe Reutenauer

arxiv:1204.5145 v1 · 2012-04-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMZ75QGYJIZNWNB4S5M6IOWOES}

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	2026-05-18T03:57:14.664206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb33fec0d84a32db343c9759e43ace249a67ea527ec458648886649034604e40

Aliases

arxiv: 1204.5145 · arxiv_version: 1204.5145v1 · doi: 10.48550/arxiv.1204.5145 · pith_short_12: XMZ75QGYJIZN · pith_short_16: XMZ75QGYJIZNWNB4 · pith_short_8: XMZ75QGY

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/XMZ75QGYJIZNWNB4S5M6IOWOES \
  | 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: bb33fec0d84a32db343c9759e43ace249a67ea527ec458648886649034604e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "518e25464db4744d06ac54f920568ba01dbc0e0597fcf66687883c8dd9ae0dd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-23T18:54:35Z",
    "title_canon_sha256": "fa539321fd8f4afad8bd13e9bae67c716b28a104e20cbdaf10842cc3e08205b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5145",
    "kind": "arxiv",
    "version": 1
  }
}