Pith Number

pith:C6XLI3CP

pith:2016:C6XLI3CPCATFUQC3KPEC6OFJFY

not attested not anchored not stored refs pending

Weyl law for the volume spectrum

Andr\'e Neves, Fernando C. Marques, Yevgeny Liokumovich

arxiv:1607.08721 v2 · 2016-07-29 · math.DG · math.GT · 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{C6XLI3CPCATFUQC3KPEC6OFJFY}

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	2026-05-18T00:23:59.247027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17aeb46c4f10265a405b53c82f38a92e351fdd9dcc21170fe308b6056be2cfc6

Aliases

arxiv: 1607.08721 · arxiv_version: 1607.08721v2 · doi: 10.48550/arxiv.1607.08721 · pith_short_12: C6XLI3CPCATF · pith_short_16: C6XLI3CPCATFUQC3 · pith_short_8: C6XLI3CP

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/C6XLI3CPCATFUQC3KPEC6OFJFY \
  | 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: 17aeb46c4f10265a405b53c82f38a92e351fdd9dcc21170fe308b6056be2cfc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868a46a0e9cc06e87c6164b5987a23963c43504843348d486c0864bbaebc0d1c",
    "cross_cats_sorted": [
      "math.GT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-29T08:21:05Z",
    "title_canon_sha256": "678bee8365345fda0097b0fc4d3853dd31550dbd08208003e237db2189635868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08721",
    "kind": "arxiv",
    "version": 2
  }
}