Pith Number

pith:QXA774WV

pith:2009:QXA774WVCXIDFTK3Q4JMAHEGS4

not attested not anchored not stored refs pending

Wave propagation in periodic networks of thin fibers

B. Vainberg, S. Molchanov

arxiv:0908.0156 v1 · 2009-08-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXA774WVCXIDFTK3Q4JMAHEGS4}

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	2026-05-18T01:17:57.717372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c1fff2d515d032cd5b8712c01c86971b170a1dfab17168f2a5bdf536172a94

Aliases

arxiv: 0908.0156 · arxiv_version: 0908.0156v1 · doi: 10.48550/arxiv.0908.0156 · pith_short_12: QXA774WVCXID · pith_short_16: QXA774WVCXIDFTK3 · pith_short_8: QXA774WV

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/QXA774WVCXIDFTK3Q4JMAHEGS4 \
  | 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: 85c1fff2d515d032cd5b8712c01c86971b170a1dfab17168f2a5bdf536172a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cceddf9cd065a34a87a7f372690153f1220fcf6a4edfbea7012b6f4762998dbf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-02T20:30:31Z",
    "title_canon_sha256": "b3f7bb2a0447de619063612ccb9b1256f80292baba71b3144caf0472c951a665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0156",
    "kind": "arxiv",
    "version": 1
  }
}