Pith Number

pith:QXDXD7SO

pith:2014:QXDXD7SOROPPFF5CTCFDJWNTYH

not attested not anchored not stored refs pending

On the eigenfunction expansion for the Hamilton operators

A. Komech, E. Kopylova

arxiv:1405.4122 v1 · 2014-05-16 · 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{QXDXD7SOROPPFF5CTCFDJWNTYH}

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	2026-05-18T02:51:43.068720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c771fe4e8b9ef297a2988a34d9b3c1e599d1344c4d2246c25fb47fdb7dec99

Aliases

arxiv: 1405.4122 · arxiv_version: 1405.4122v1 · doi: 10.48550/arxiv.1405.4122 · pith_short_12: QXDXD7SOROPP · pith_short_16: QXDXD7SOROPPFF5C · pith_short_8: QXDXD7SO

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/QXDXD7SOROPPFF5CTCFDJWNTYH \
  | 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: 85c771fe4e8b9ef297a2988a34d9b3c1e599d1344c4d2246c25fb47fdb7dec99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22d4c3f1bcc458dc40ce5d97e2db9e9083a77d6216368490fc37f269afa2a90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-16T10:39:30Z",
    "title_canon_sha256": "94ef63beebd47d37c1a561249321b3293df012d41666fc354deb894aacaf1c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4122",
    "kind": "arxiv",
    "version": 1
  }
}