Pith Number

pith:FF4MQN5G

pith:2013:FF4MQN5GCMC4FQCY4NVPT3GL3A

not attested not anchored not stored refs pending

A lower bound on the orbit growth of a regular self-map of affine space

Vesselin Dimitrov

arxiv:1311.4133 v1 · 2013-11-17 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FF4MQN5GCMC4FQCY4NVPT3GL3A}

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	2026-05-18T03:06:53.506089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2978c837a61305c2c058e36af9eccbd82296478e00d5ce5e414fea0d255beff9

Aliases

arxiv: 1311.4133 · arxiv_version: 1311.4133v1 · doi: 10.48550/arxiv.1311.4133 · pith_short_12: FF4MQN5GCMC4 · pith_short_16: FF4MQN5GCMC4FQCY · pith_short_8: FF4MQN5G

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/FF4MQN5GCMC4FQCY4NVPT3GL3A \
  | 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: 2978c837a61305c2c058e36af9eccbd82296478e00d5ce5e414fea0d255beff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac7060857c46dd797311b8fb1418a0158785f11168bc5876d33b2b21781012c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-17T09:16:18Z",
    "title_canon_sha256": "f7ea7a8375f0c5f78a43ba2bfdf0cc356cff585228645090ff6c9d7a7f4e21ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4133",
    "kind": "arxiv",
    "version": 1
  }
}