Pith Number

pith:477IYPAM

pith:2007:477IYPAMVWF462XALT76X453JO

not attested not anchored not stored refs pending

Lie symmetries of multidimensional difference equations

Decio Levi, Pavel Winternitz, S\'ebastien Tremblay

arxiv:0709.3238 v1 · 2007-09-20 · math-ph · 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{477IYPAMVWF462XALT76X453JO}

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	2026-05-18T03:19:01.945256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7fe8c3c0cad8bcf6ae05cffebf3bb4b89c8f9977390f7fc2536912b81ffe3bf

Aliases

arxiv: 0709.3238 · arxiv_version: 0709.3238v1 · doi: 10.48550/arxiv.0709.3238 · pith_short_12: 477IYPAMVWF4 · pith_short_16: 477IYPAMVWF462XA · pith_short_8: 477IYPAM

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/477IYPAMVWF462XALT76X453JO \
  | 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: e7fe8c3c0cad8bcf6ae05cffebf3bb4b89c8f9977390f7fc2536912b81ffe3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0a78b5893fbee22853265d258ee325be87a6217eec27c091f7213a4c14db88",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-09-20T14:11:22Z",
    "title_canon_sha256": "dfc7f796fec78c558cd08e7d8d70eb61e2d17f48d4fef5f47803cce6bfd315ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3238",
    "kind": "arxiv",
    "version": 1
  }
}