Pith Number

pith:4E65TPWQ

pith:2010:4E65TPWQGBCEUT2XQKWGZQVC4M

not attested not anchored not stored refs pending

Entropy for symbolic dynamics with overlapping alphabets

David Richeson, Fabio Drucker, Jim Wiseman

arxiv:1011.3402 v1 · 2010-11-15 · 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{4E65TPWQGBCEUT2XQKWGZQVC4M}

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	2026-05-18T04:35:55.929636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13dd9bed030444a4f5782ac6cc2a2e30068ce35bd37a5b52fd7044a199203a6

Aliases

arxiv: 1011.3402 · arxiv_version: 1011.3402v1 · doi: 10.48550/arxiv.1011.3402 · pith_short_12: 4E65TPWQGBCE · pith_short_16: 4E65TPWQGBCEUT2X · pith_short_8: 4E65TPWQ

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/4E65TPWQGBCEUT2XQKWGZQVC4M \
  | 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: e13dd9bed030444a4f5782ac6cc2a2e30068ce35bd37a5b52fd7044a199203a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef025818e276b9d4de26b30707470bfb0d5b97fa60fcb436dedcbe8a2fb3b062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-15T14:32:56Z",
    "title_canon_sha256": "49a4a08205f286749e67ede8a44112dd636b376b854a2f06a0872ad3f64bbdcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3402",
    "kind": "arxiv",
    "version": 1
  }
}