Pith Number

pith:HX2IOHVX

pith:2012:HX2IOHVX3P433FRMZOWSZOFSZ4

not attested not anchored not stored refs pending

Integrability of Discrete Equations Modulo a Prime

Masataka Kanki

arxiv:1209.1715 v3 · 2012-09-08 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HX2IOHVX3P433FRMZOWSZOFSZ4}

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	2026-05-18T03:13:58.339196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df4871eb7dbf9bd962ccbad2cb8b2cf1d09034fbea97ad6956415c50f9a8c05

Aliases

arxiv: 1209.1715 · arxiv_version: 1209.1715v3 · doi: 10.48550/arxiv.1209.1715 · pith_short_12: HX2IOHVX3P43 · pith_short_16: HX2IOHVX3P433FRM · pith_short_8: HX2IOHVX

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/HX2IOHVX3P433FRMZOWSZOFSZ4 \
  | 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: 3df4871eb7dbf9bd962ccbad2cb8b2cf1d09034fbea97ad6956415c50f9a8c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7375f2d1947c71ab9bc4568e42c00d0eca6183933ba157ed0653980439007057",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-08T13:00:04Z",
    "title_canon_sha256": "a6a43cc158185b2e84add5338ca5bbda8fab8478ba04fdae9baede6fcc9c45f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1715",
    "kind": "arxiv",
    "version": 3
  }
}