Pith Number

pith:KBWYXBQY

pith:2014:KBWYXBQYNNP3SA6EBAINIRELXC

not attested not anchored not stored refs pending

Dynamics of the square mapping on the ring of $p$-adic integers

Lingmin Liao, Shilei Fan

arxiv:1408.4574 v1 · 2014-08-20 · math.DS · 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{KBWYXBQYNNP3SA6EBAINIRELXC}

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	2026-05-18T02:44:48.682523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506d8b86186b5fb903c40810d4448bb8a1333a2aa0b32e2aef74ecf3b53d43d6

Aliases

arxiv: 1408.4574 · arxiv_version: 1408.4574v1 · doi: 10.48550/arxiv.1408.4574 · pith_short_12: KBWYXBQYNNP3 · pith_short_16: KBWYXBQYNNP3SA6E · pith_short_8: KBWYXBQY

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/KBWYXBQYNNP3SA6EBAINIRELXC \
  | 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: 506d8b86186b5fb903c40810d4448bb8a1333a2aa0b32e2aef74ecf3b53d43d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c64abaa4dc1c3d3fd192677ab2334de4bae4f3b53d6496f74d532b5275903b2f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-20T09:22:29Z",
    "title_canon_sha256": "73c0c1bfce80116a5973b0be280f30663182e37d21255075467e2c7da2e57fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4574",
    "kind": "arxiv",
    "version": 1
  }
}