Pith Number

pith:VD4LRTJC

pith:2011:VD4LRTJCJYBUCYKLJMKZZABURY

not attested not anchored not stored refs pending

Rational preimages in families of dynamical systems

Aaron Levin

arxiv:1109.6076 v1 · 2011-09-28 · math.NT · 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{VD4LRTJCJYBUCYKLJMKZZABURY}

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	2026-05-18T04:12:09.805069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f8b8cd224e0341614b4b159c80348e29196b7de80f8b123844f1b54c9a8b5a

Aliases

arxiv: 1109.6076 · arxiv_version: 1109.6076v1 · doi: 10.48550/arxiv.1109.6076 · pith_short_12: VD4LRTJCJYBU · pith_short_16: VD4LRTJCJYBUCYKL · pith_short_8: VD4LRTJC

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/VD4LRTJCJYBUCYKLJMKZZABURY \
  | 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: a8f8b8cd224e0341614b4b159c80348e29196b7de80f8b123844f1b54c9a8b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab87549c7b113e9e23b1fdfa9c84bedada23c9ff8e60476105933d9bdb9cb5ff",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-28T02:09:06Z",
    "title_canon_sha256": "6de2f57efb8c741294cd5cf8d920b83ecbf2dc48c8f3aaa7aad5562bcc1a6994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6076",
    "kind": "arxiv",
    "version": 1
  }
}