Pith Number

pith:2ILAGGO6

pith:2010:2ILAGGO6FLW4LBW3ZTO4JVPMBC

not attested not anchored not stored refs pending

Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides

Sofiane Soussi, Thorsten Hohage

arxiv:1010.1738 v2 · 2010-10-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ILAGGO6FLW4LBW3ZTO4JVPMBC}

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	2026-05-18T02:20:00.754058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2160319de2aedc586dbccddc4d5ec089bba635a824d4038e0d20ce5d7ebdfdf

Aliases

arxiv: 1010.1738 · arxiv_version: 1010.1738v2 · doi: 10.48550/arxiv.1010.1738 · pith_short_12: 2ILAGGO6FLW4 · pith_short_16: 2ILAGGO6FLW4LBW3 · pith_short_8: 2ILAGGO6

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/2ILAGGO6FLW4LBW3ZTO4JVPMBC \
  | 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: d2160319de2aedc586dbccddc4d5ec089bba635a824d4038e0d20ce5d7ebdfdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c5e311f94401e55a7ede2fea02b43233aab1b30c63d625f0a16cdc34329e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-08T16:52:07Z",
    "title_canon_sha256": "5a2c2e744340001bb4779f17d553db8a090a542035fdcc64fd33c586a18cd6dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1738",
    "kind": "arxiv",
    "version": 2
  }
}