Pith Number

pith:4ELLC5LS

pith:2005:4ELLC5LSVTMKBMUYJVY7S3OX74

not attested not anchored not stored refs pending

Slowing down and reflection of waves in truncated periodic media

B. Vainberg, S. Molchanov

arxiv:math/0503075 v1 · 2005-03-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ELLC5LSVTMKBMUYJVY7S3OX74}

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	2026-05-18T01:17:53.724004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e116b17572acd8a0b2984d71f96dd7ff1c615fb0a109e20b5cee64da981bcd9c

Aliases

arxiv: math/0503075 · arxiv_version: math/0503075v1 · doi: 10.48550/arxiv.math/0503075 · pith_short_12: 4ELLC5LSVTMK · pith_short_16: 4ELLC5LSVTMKBMUY · pith_short_8: 4ELLC5LS

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/4ELLC5LSVTMKBMUYJVY7S3OX74 \
  | 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: e116b17572acd8a0b2984d71f96dd7ff1c615fb0a109e20b5cee64da981bcd9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eadb3dddf6901174dc0b3916e0cbb4aee738aeaaf7a8942b1880a0dcc9d969b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-03-04T19:05:27Z",
    "title_canon_sha256": "dd5d1e0487228ed66deef3aa978a4ef140ad2ddf9862f3df3f02246bf7714068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503075",
    "kind": "arxiv",
    "version": 1
  }
}