Pith Number

pith:E5IPHERM

pith:2007:E5IPHERMBQZIZGFKYN2Q537WNZ

not attested not anchored not stored refs pending

Zeta functions and topological entropy of the Markov-Dyck shifts

Kengo Matsumoto, Wolfgang Krieger

arxiv:0706.3262 v1 · 2007-06-22 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5IPHERMBQZIZGFKYN2Q537WNZ}

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	2026-05-18T03:21:33.931323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2750f3922c0c328c98aac3750eeff66e71ddfd12fca0bffd32f7b9e5d7ae8866

Aliases

arxiv: 0706.3262 · arxiv_version: 0706.3262v1 · doi: 10.48550/arxiv.0706.3262 · pith_short_12: E5IPHERMBQZI · pith_short_16: E5IPHERMBQZIZGFK · pith_short_8: E5IPHERM

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/E5IPHERMBQZIZGFKYN2Q537WNZ \
  | 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: 2750f3922c0c328c98aac3750eeff66e71ddfd12fca0bffd32f7b9e5d7ae8866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a132196b2277a3adcb2bed4fd8d492a1e9352e5b4d73bef80bd3cdbba0cd968c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-06-22T06:05:38Z",
    "title_canon_sha256": "9ec9841f7a5102f2da1544aba41ef95962672f066bbe8ce3715ca99844de8c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3262",
    "kind": "arxiv",
    "version": 1
  }
}