Pith Number

pith:IWCU3QPW

pith:2015:IWCU3QPWH4SBATGA6TXZSO2W4V

not attested not anchored not stored refs pending

Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations

Andoni Garc\'ia, Esa V. Vesalainen, Miren Zubeldia

arxiv:1512.05580 v1 · 2015-12-17 · math.SP · 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{IWCU3QPWH4SBATGA6TXZSO2W4V}

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	2026-05-18T01:24:09.749631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45854dc1f63f24104cc0f4ef993b56e54ee1167d537fbdbade8adb8c037bea03

Aliases

arxiv: 1512.05580 · arxiv_version: 1512.05580v1 · doi: 10.48550/arxiv.1512.05580 · pith_short_12: IWCU3QPWH4SB · pith_short_16: IWCU3QPWH4SBATGA · pith_short_8: IWCU3QPW

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/IWCU3QPWH4SBATGA6TXZSO2W4V \
  | 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: 45854dc1f63f24104cc0f4ef993b56e54ee1167d537fbdbade8adb8c037bea03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9718c93bb4c7a24823f3790ccc2438634ca3111d953b5a6125705a73b6f1929",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-17T13:50:47Z",
    "title_canon_sha256": "3b90e455e5611ab5790649f824453c6532b487f909f368dfcc23169c81f567ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05580",
    "kind": "arxiv",
    "version": 1
  }
}