Pith Number

pith:BMM7CT34

pith:2010:BMM7CT34YHR5QIKILZEJOZOH4N

not attested not anchored not stored refs pending

Complexified cones. Spectral gaps and variational principles

Hans Henrik Rugh, Lo\"ic Dubois

arxiv:1011.5171 v1 · 2010-11-23 · math.FA · math.CV · 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{BMM7CT34YHR5QIKILZEJOZOH4N}

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	2026-05-18T04:34:54.685564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b19f14f7cc1e3d821485e489765c7e37b3f553d3699c2becac73270a2095e26

Aliases

arxiv: 1011.5171 · arxiv_version: 1011.5171v1 · doi: 10.48550/arxiv.1011.5171 · pith_short_12: BMM7CT34YHR5 · pith_short_16: BMM7CT34YHR5QIKI · pith_short_8: BMM7CT34

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/BMM7CT34YHR5QIKILZEJOZOH4N \
  | 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: 0b19f14f7cc1e3d821485e489765c7e37b3f553d3699c2becac73270a2095e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f28990fe27c3203975b588e68fd2db25e00a59f4a35064644959e7cac722ccb",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-23T17:28:27Z",
    "title_canon_sha256": "9d71bd3e8d7968d1bff2abb88294f1eea2d4b6725eac9cf77d68b9d1b005df8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5171",
    "kind": "arxiv",
    "version": 1
  }
}