Pith Number

pith:CRIXRU2X

pith:2014:CRIXRU2XNB6V53HBHO3ZX3B6R6

not attested not anchored not stored refs pending

Lie-point symmetries of the discrete Liouville equation

Decio Levi, Luigi Martina, Pavel Winternitz

arxiv:1407.4043 v1 · 2014-07-15 · math-ph · math.MP · math.NA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRIXRU2XNB6V53HBHO3ZX3B6R6}

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	2026-05-18T01:42:36.574723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145178d357687d5eece13bb79bec3e8fa3e33afdf0d4d2f00683acc66164dece

Aliases

arxiv: 1407.4043 · arxiv_version: 1407.4043v1 · doi: 10.48550/arxiv.1407.4043 · pith_short_12: CRIXRU2XNB6V · pith_short_16: CRIXRU2XNB6V53HB · pith_short_8: CRIXRU2X

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/CRIXRU2XNB6V53HBHO3ZX3B6R6 \
  | 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: 145178d357687d5eece13bb79bec3e8fa3e33afdf0d4d2f00683acc66164dece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf92d6611547415d9701d0bd135a6a0c2cc151163d38da5dee9b1360ae22e0d",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-15T16:29:06Z",
    "title_canon_sha256": "bbbaf375f8228427a0639e18b1ac40982e3c9660bf4aac728fc699718b98a366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4043",
    "kind": "arxiv",
    "version": 1
  }
}