Pith Number

pith:SJPJA6TS

pith:2011:SJPJA6TSRRN4VWWXFTHOUYYV2F

not attested not anchored not stored refs pending

Automata in groups and dynamics and induced systems of PDE in tropical geometry

Tsuyoshi Kato

arxiv:1108.5001 v1 · 2011-08-25 · math.MG · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJPJA6TSRRN4VWWXFTHOUYYV2F}

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	2026-05-18T04:14:45.630475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925e907a728c5bcadad72cceea6315d15ed2030045f8ece5e58c6a6d9b917d63

Aliases

arxiv: 1108.5001 · arxiv_version: 1108.5001v1 · doi: 10.48550/arxiv.1108.5001 · pith_short_12: SJPJA6TSRRN4 · pith_short_16: SJPJA6TSRRN4VWWX · pith_short_8: SJPJA6TS

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/SJPJA6TSRRN4VWWXFTHOUYYV2F \
  | 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: 925e907a728c5bcadad72cceea6315d15ed2030045f8ece5e58c6a6d9b917d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff5d4631856ef0a74d39ae2dfc501c89aeda089eb6aa69f15228efc2d159eb1",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-08-25T03:22:12Z",
    "title_canon_sha256": "0816639e5af5edc968320e4df9c3380f05ac0ab5c3a1ae725a69836739cccc1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5001",
    "kind": "arxiv",
    "version": 1
  }
}