Pith Number

pith:LDTJRIBF

pith:2018:LDTJRIBFZPQVBHKNNIZG2AQPGS

not attested not anchored not stored refs pending

Families of directed graphs and topological conjugacy of the associated Markov-Dyck shifts

Toshihiro Hamachi, Wolfgang Krieger

arxiv:1806.09051 v3 · 2018-06-23 · 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{LDTJRIBFZPQVBHKNNIZG2AQPGS}

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	2026-05-17T23:43:51.138767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e698a025cbe1509d4d6a326d020f34a255ba80170fe56367cfd273c602005d

Aliases

arxiv: 1806.09051 · arxiv_version: 1806.09051v3 · doi: 10.48550/arxiv.1806.09051 · pith_short_12: LDTJRIBFZPQV · pith_short_16: LDTJRIBFZPQVBHKN · pith_short_8: LDTJRIBF

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/LDTJRIBFZPQVBHKNNIZG2AQPGS \
  | 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: 58e698a025cbe1509d4d6a326d020f34a255ba80170fe56367cfd273c602005d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a29c479b3765fd86bf5021307c09a2f9f3a175ee428b834e92abe51454cba39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-23T23:12:18Z",
    "title_canon_sha256": "39734310ce4c420bea1154846ce5c4cb5de3c28a452fbe00cbe5a0164459ca01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09051",
    "kind": "arxiv",
    "version": 3
  }
}