pith. sign in
Pith Number

pith:AXE3P4GF

pith:2016:AXE3P4GFQB4L2O6S6MPWMWLCV2
not attested not anchored not stored refs pending

A family of wave equations with some remarkable properties

Igor Leite Freire, J\'ulio Cesar Santos Sampaio, Priscila Leal da Silva

arxiv:1602.06525 v4 · 2016-02-21 · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AXE3P4GFQB4L2O6S6MPWMWLCV2}

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 2026-05-18T00:23:23.588972Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

05c9b7f0c58078bd3bd2f31f665962ae9b4a22842b406cb9e6f626cac10c61a7

Aliases

arxiv: 1602.06525 · arxiv_version: 1602.06525v4 · doi: 10.48550/arxiv.1602.06525 · pith_short_12: AXE3P4GFQB4L · pith_short_16: AXE3P4GFQB4L2O6S · pith_short_8: AXE3P4GF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AXE3P4GFQB4L2O6S6MPWMWLCV2 \
  | 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: 05c9b7f0c58078bd3bd2f31f665962ae9b4a22842b406cb9e6f626cac10c61a7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "61eb8f406ca70c584fd1bbf73bc4584f7e8a5ede2676986d2fa59b852b41ca8c",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-21T13:23:22Z",
    "title_canon_sha256": "84e88944e98f64b4c1de636164d3cc47b4cb18e861fdf87356602bd148620bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06525",
    "kind": "arxiv",
    "version": 4
  }
}