Pith Number

pith:4RUGYEK7

pith:2011:4RUGYEK7H7YPS26URH5NMWLWYI

not attested not anchored not stored refs pending

The Dynamical Degrees of a Mapping

Eric Bedford

arxiv:1110.1741 v1 · 2011-10-08 · math.DS · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RUGYEK7H7YPS26URH5NMWLWYI}

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	2026-05-18T04:11:19.714045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4686c115f3ff0f96bd489fad65976c214266115ad962721fba63e4b8e2920b4

Aliases

arxiv: 1110.1741 · arxiv_version: 1110.1741v1 · doi: 10.48550/arxiv.1110.1741 · pith_short_12: 4RUGYEK7H7YP · pith_short_16: 4RUGYEK7H7YPS26U · pith_short_8: 4RUGYEK7

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/4RUGYEK7H7YPS26URH5NMWLWYI \
  | 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: e4686c115f3ff0f96bd489fad65976c214266115ad962721fba63e4b8e2920b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6476bf2b8a164b8e42f13040af4fb7d491f76898c0b68d071bd13938d3723de2",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-08T14:57:22Z",
    "title_canon_sha256": "d1f027f8219556c1b7644e08f2174509456709b19d67dcc02ac2cb61fb01bf61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1741",
    "kind": "arxiv",
    "version": 1
  }
}