Pith Number

pith:AYUHSUGS

pith:2015:AYUHSUGSBTRQ6I4EJTSNDACNZS

not attested not anchored not stored refs pending

Non-linear eigenvalue problems and applications to photonic crystals

Christian Engstr\"om, Christiane Tretter, Heinz Langer

arxiv:1507.06381 v1 · 2015-07-23 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYUHSUGSBTRQ6I4EJTSNDACNZS}

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	2026-05-18T01:36:25.088124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06287950d20ce30f23844ce4d1804dcc9e3e587ac890e254e15a5035b6ee1cca

Aliases

arxiv: 1507.06381 · arxiv_version: 1507.06381v1 · doi: 10.48550/arxiv.1507.06381 · pith_short_12: AYUHSUGSBTRQ · pith_short_16: AYUHSUGSBTRQ6I4E · pith_short_8: AYUHSUGS

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/AYUHSUGSBTRQ6I4EJTSNDACNZS \
  | 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: 06287950d20ce30f23844ce4d1804dcc9e3e587ac890e254e15a5035b6ee1cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295acef54aa02f685795937f0ef93038032f0e855921459f61421d94b8a7b5ad",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-23T04:17:12Z",
    "title_canon_sha256": "3888a76d157c4afd854609e20479fc333f408e0277091f0b7de91a2646266c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06381",
    "kind": "arxiv",
    "version": 1
  }
}