Pith Number

pith:VXJHMBC5

pith:2016:VXJHMBC5OM4KZMNHFGJDVBBGAX

not attested not anchored not stored refs pending

Markov-Dyck shifts, neutral periodic points and topological conjugacy

Kengo Matsumoto, Wolfgang Krieger

arxiv:1611.03025 v3 · 2016-11-09 · 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{VXJHMBC5OM4KZMNHFGJDVBBGAX}

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	2026-05-18T00:13:22.184789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add276045d7338acb1a729923a842605ff7856a955932017987152d18b3fb8cf

Aliases

arxiv: 1611.03025 · arxiv_version: 1611.03025v3 · doi: 10.48550/arxiv.1611.03025 · pith_short_12: VXJHMBC5OM4K · pith_short_16: VXJHMBC5OM4KZMNH · pith_short_8: VXJHMBC5

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/VXJHMBC5OM4KZMNHFGJDVBBGAX \
  | 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: add276045d7338acb1a729923a842605ff7856a955932017987152d18b3fb8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab6a7a705708d406b1613ec7b71c171ae07f30a6b5957067dc0d6a080769bdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-09T17:47:51Z",
    "title_canon_sha256": "0a1fdf570eeab208b68c4f52894e950fe726007ca5e4b553d0ac697bac25c816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03025",
    "kind": "arxiv",
    "version": 3
  }
}