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Pith Number

pith:F6ZL52ZB

pith:2018:F6ZL52ZBTFO2FFF67SAQC32ZHK
not attested not anchored not stored refs pending

Dispersive and effective properties of two-dimensional periodic media

Boris Vainberg, Yuri A. Godin

arxiv:1805.02636 v3 · 2018-05-07 · math-ph · cond-mat.mtrl-sci · math.AP · math.MP · physics.app-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F6ZL52ZBTFO2FFF67SAQC32ZHK}

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 2026-05-17T23:44:48.350587Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2fb2beeb21995da294befc81016f593a9987ec2e275005673059c02f63b0f1df

Aliases

arxiv: 1805.02636 · arxiv_version: 1805.02636v3 · doi: 10.48550/arxiv.1805.02636 · pith_short_12: F6ZL52ZBTFO2 · pith_short_16: F6ZL52ZBTFO2FFF6 · pith_short_8: F6ZL52ZB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F6ZL52ZBTFO2FFF67SAQC32ZHK \
  | 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: 2fb2beeb21995da294befc81016f593a9987ec2e275005673059c02f63b0f1df
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "98b60be6391f19f852045efa77fda203def9118c742b151d8e5ad3d74843b180",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.AP",
      "math.MP",
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-05-07T17:45:26Z",
    "title_canon_sha256": "17c1ce6101904848b3bcfafb6fed786721b75c74327ec3557b4b2199603ca61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02636",
    "kind": "arxiv",
    "version": 3
  }
}