Pith Number

pith:SWLMOOQO

pith:2016:SWLMOOQOF4IPBVLOTNBBGGE7AK

not attested not anchored not stored refs pending

The spectrum of geodesic balls on spherically symmetric manifolds

Denis Borisov, Pedro Freitas

arxiv:1603.02399 v1 · 2016-03-08 · 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{SWLMOOQOF4IPBVLOTNBBGGE7AK}

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	2026-05-18T01:19:23.473600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9596c73a0e2f10f0d56e9b4213189f029d8312d37bc1829bd78801657cca23d1

Aliases

arxiv: 1603.02399 · arxiv_version: 1603.02399v1 · doi: 10.48550/arxiv.1603.02399 · pith_short_12: SWLMOOQOF4IP · pith_short_16: SWLMOOQOF4IPBVLO · pith_short_8: SWLMOOQO

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/SWLMOOQOF4IPBVLOTNBBGGE7AK \
  | 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: 9596c73a0e2f10f0d56e9b4213189f029d8312d37bc1829bd78801657cca23d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e70c2a140ec6c1ed20449cd37ff2b07cbbce3f9c2def8d22613a8133cddfa6f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-08T07:14:45Z",
    "title_canon_sha256": "101f70bc27791c0604d411e397acb6c2871ccba615cbacdfd0555ea3baf5bae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02399",
    "kind": "arxiv",
    "version": 1
  }
}