Pith Number

pith:4DUWABSV

pith:2017:4DUWABSVNTQ7O2MKXM5NJGKH4W

not attested not anchored not stored refs pending

Calculating the algebraic entropy of mappings with unconfined singularities

Alfred Ramani, Basil Grammaticos, Junkichi Satsuma, Ralph Willox, Takafumi Mase

arxiv:1711.09237 v1 · 2017-11-25 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DUWABSVNTQ7O2MKXM5NJGKH4W}

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	2026-05-18T00:29:12.759842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e96006556ce1f7698abb3ad49947e588aa8b9134e0c95ebc249f5b1a153136

Aliases

arxiv: 1711.09237 · arxiv_version: 1711.09237v1 · doi: 10.48550/arxiv.1711.09237 · pith_short_12: 4DUWABSVNTQ7 · pith_short_16: 4DUWABSVNTQ7O2MK · pith_short_8: 4DUWABSV

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/4DUWABSVNTQ7O2MKXM5NJGKH4W \
  | 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: e0e96006556ce1f7698abb3ad49947e588aa8b9134e0c95ebc249f5b1a153136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc37528c78cfc835a443bf0e956cb773afb3e663cb381caad22ad721caf8a83",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-25T13:31:19Z",
    "title_canon_sha256": "65aaaa8b708c64576433fc88d9b8943e4ac1c7e6a36b2081b0f664aa6d14e652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09237",
    "kind": "arxiv",
    "version": 1
  }
}