Pith Number

pith:A4QUAU4S

pith:2015:A4QUAU4SPBEOEJU4SOJRS4NLDA

not attested not anchored not stored refs pending

Properties of the Dirac spectrum on three dimensional lens spaces

Sebastian Boldt

arxiv:1504.03121 v2 · 2015-04-13 · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4QUAU4SPBEOEJU4SOJRS4NLDA}

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	2026-05-18T01:35:20.209208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07214053927848e2269c93931971ab18046537bb6e225c5ac89cd53ad7553761

Aliases

arxiv: 1504.03121 · arxiv_version: 1504.03121v2 · doi: 10.48550/arxiv.1504.03121 · pith_short_12: A4QUAU4SPBEO · pith_short_16: A4QUAU4SPBEOEJU4 · pith_short_8: A4QUAU4S

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/A4QUAU4SPBEOEJU4SOJRS4NLDA \
  | 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: 07214053927848e2269c93931971ab18046537bb6e225c5ac89cd53ad7553761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b636f11c12cab668487141ba08c3f4fade45afcb595283ca5872c30bc8f07cc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-13T10:55:36Z",
    "title_canon_sha256": "780519bb4eaed280d20e766d80ca76d9d08ccb8cf7486503f8a749b126faea22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03121",
    "kind": "arxiv",
    "version": 2
  }
}