Pith Number

pith:PPIVH636

pith:2012:PPIVH636FZ47T7V7E4ZCKOEXKZ

not attested not anchored not stored refs pending

Presentations of symbolic dynamical systems by labelled directed graphs (Notes for a "mini-cours", SDA2, Paris 4-5 October 2007)

Wolfgang Krieger

arxiv:1209.1872 v1 · 2012-09-10 · 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{PPIVH636FZ47T7V7E4ZCKOEXKZ}

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	2026-05-18T03:45:54.140333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd153fb7e2e79f9febf27322538975659bd82c47be7002afde514cf0f972c83

Aliases

arxiv: 1209.1872 · arxiv_version: 1209.1872v1 · doi: 10.48550/arxiv.1209.1872 · pith_short_12: PPIVH636FZ47 · pith_short_16: PPIVH636FZ47T7V7 · pith_short_8: PPIVH636

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/PPIVH636FZ47T7V7E4ZCKOEXKZ \
  | 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: 7bd153fb7e2e79f9febf27322538975659bd82c47be7002afde514cf0f972c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93d4cdbce754b961bc7be58f5c691683fe6a74bdad7e86644c2ac93a5986d1bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-10T03:06:41Z",
    "title_canon_sha256": "6a8b3b9ec561a4cfff5c988881dabf87f3e14b5797b00b24efe3cf09bf51874a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1872",
    "kind": "arxiv",
    "version": 1
  }
}