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Pith Number

pith:5WJFTUMH

pith:2016:5WJFTUMHZZYONEZTZBN3GB4KJZ
not attested not anchored not stored refs pending

Invariants of hyperbolic Partial Differential Operators

Chris Athorne, Halis Yilmaz

arxiv:1601.07051 v1 · 2016-01-26 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WJFTUMHZZYONEZTZBN3GB4KJZ}

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 2026-05-18T01:21:59.221280Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed9259d187ce70e69333c85bb3078a4e604e6035483a257af51ae22e1a9461e2

Aliases

arxiv: 1601.07051 · arxiv_version: 1601.07051v1 · doi: 10.48550/arxiv.1601.07051 · pith_short_12: 5WJFTUMHZZYO · pith_short_16: 5WJFTUMHZZYONEZT · pith_short_8: 5WJFTUMH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WJFTUMHZZYONEZTZBN3GB4KJZ \
  | 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: ed9259d187ce70e69333c85bb3078a4e604e6035483a257af51ae22e1a9461e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e826f8261923b58801879e094e09bd85d7186cb18951b0e6fcfee335b1718899",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-26T14:53:47Z",
    "title_canon_sha256": "afe7333bc76c4ee992a950c8685456b643dcf3686ad1d6ac4b36db59fadbe0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07051",
    "kind": "arxiv",
    "version": 1
  }
}