Pith Number

pith:PTYJY5R4

pith:2017:PTYJY5R4MIKUQIKNZZBMMZQEON

not attested not anchored not stored refs pending

The Lind Zeta functions of reversal systems of finite order

Sieye Ryu

arxiv:1712.03519 v1 · 2017-12-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTYJY5R4MIKUQIKNZZBMMZQEON}

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	2026-05-18T00:28:20.982973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf09c763c621548214dce42c6660473619b13e5e764e01dd5c8022ca67512d0

Aliases

arxiv: 1712.03519 · arxiv_version: 1712.03519v1 · doi: 10.48550/arxiv.1712.03519 · pith_short_12: PTYJY5R4MIKU · pith_short_16: PTYJY5R4MIKUQIKN · pith_short_8: PTYJY5R4

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/PTYJY5R4MIKUQIKNZZBMMZQEON \
  | 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: 7cf09c763c621548214dce42c6660473619b13e5e764e01dd5c8022ca67512d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e23ca67dde13e886f00fd00c0537bd1e80f6a71a58abbba342e6146f31cded8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-10T12:54:01Z",
    "title_canon_sha256": "c8d91242db592ec018a49cbece28d8e588f863cf2262e041ded6024731816ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03519",
    "kind": "arxiv",
    "version": 1
  }
}