Pith Number

pith:KFX4QVXO

pith:2017:KFX4QVXO3YPQBU4TUFKRXQFYCD

not attested not anchored not stored refs pending

Nodal lengths of eigenfunctions in the disc

Chuong Tran, Michael Murray, Xiaolong Han

arxiv:1708.08112 v2 · 2017-08-27 · math.AP · 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{KFX4QVXO3YPQBU4TUFKRXQFYCD}

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	2026-05-18T00:34:28.850942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516fc856eede1f00d393a1551bc0b810ceef064bfa12fc7565c672d013d5d848

Aliases

arxiv: 1708.08112 · arxiv_version: 1708.08112v2 · doi: 10.48550/arxiv.1708.08112 · pith_short_12: KFX4QVXO3YPQ · pith_short_16: KFX4QVXO3YPQBU4T · pith_short_8: KFX4QVXO

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/KFX4QVXO3YPQBU4TUFKRXQFYCD \
  | 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: 516fc856eede1f00d393a1551bc0b810ceef064bfa12fc7565c672d013d5d848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41c72c41d8d86d3d94bd8d7a997c5d5e0c15acfd0e599dfd36c1814db3b7641",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-27T17:14:53Z",
    "title_canon_sha256": "a377ae95428815b93f057c3f94dd36d79932d5ee91ae7266f814b5a9a968de51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08112",
    "kind": "arxiv",
    "version": 2
  }
}