Pith Number

pith:KM75UVDD

pith:2014:KM75UVDDJUNZBSCMWUBH6UM2UN

not attested not anchored not stored refs pending

On topological upper-bounds on the number of small cuspidal eigenvalues

Sugata Mondal

arxiv:1406.1076 v1 · 2014-06-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KM75UVDDJUNZBSCMWUBH6UM2UN}

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	2026-05-18T00:49:25.365729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533fda54634d1b90c84cb5027f519aa3511d27b143b6d153746a52e5aa647f3d

Aliases

arxiv: 1406.1076 · arxiv_version: 1406.1076v1 · doi: 10.48550/arxiv.1406.1076 · pith_short_12: KM75UVDDJUNZ · pith_short_16: KM75UVDDJUNZBSCM · pith_short_8: KM75UVDD

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/KM75UVDDJUNZBSCMWUBH6UM2UN \
  | 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: 533fda54634d1b90c84cb5027f519aa3511d27b143b6d153746a52e5aa647f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08db22b9b0a684d75eb83d8f7f13b529b55aeb640e53f75bff6666f749a8e156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-04T15:35:09Z",
    "title_canon_sha256": "822b9179c5523f6c598481d1aefc74ee8ba1f87dc0388df785bece4d437149fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1076",
    "kind": "arxiv",
    "version": 1
  }
}