Pith Number

pith:R5MHSB3M

pith:2019:R5MHSB3MYJUELVKAODSPJRGBKY

not attested not anchored not stored refs pending

Dispersion of waves in two and three-dimensional periodic media

Boris Vainberg, Yuri A. Godin

arxiv:1905.12529 v2 · 2019-05-29 · math.AP · cond-mat.mtrl-sci · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5MHSB3MYJUELVKAODSPJRGBKY}

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	2026-05-17T23:41:36.277830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5879076cc26845d54070e4f4c4c156344f0155213cfac77ee86f7d955a650e

Aliases

arxiv: 1905.12529 · arxiv_version: 1905.12529v2 · doi: 10.48550/arxiv.1905.12529 · pith_short_12: R5MHSB3MYJUE · pith_short_16: R5MHSB3MYJUELVKA · pith_short_8: R5MHSB3M

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/R5MHSB3MYJUELVKAODSPJRGBKY \
  | 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: 8f5879076cc26845d54070e4f4c4c156344f0155213cfac77ee86f7d955a650e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6472907d182c0ed862d9e8efd44684e809d9fabe8228dd779e7a97b47292b0",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-29T15:26:38Z",
    "title_canon_sha256": "ffb73e8aaf6c25de799edb15221df4c111324e0c086df999b2b13671c38a2365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12529",
    "kind": "arxiv",
    "version": 2
  }
}