Pith Number

pith:VMGIJXXR

pith:2015:VMGIJXXRIXVSPRXVVTERTDYGTO

not attested not anchored not stored refs pending

Spectral stability of metric-measure Laplacians

Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev

arxiv:1506.06781 v4 · 2015-06-22 · math.SP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMGIJXXRIXVSPRXVVTERTDYGTO}

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	2026-05-18T00:07:19.147719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0c84def145eb27c6f5acc9198f069baede0300ca980ce6fd9f33de940102ec

Aliases

arxiv: 1506.06781 · arxiv_version: 1506.06781v4 · doi: 10.48550/arxiv.1506.06781 · pith_short_12: VMGIJXXRIXVS · pith_short_16: VMGIJXXRIXVSPRXV · pith_short_8: VMGIJXXR

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/VMGIJXXRIXVSPRXVVTERTDYGTO \
  | 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: ab0c84def145eb27c6f5acc9198f069baede0300ca980ce6fd9f33de940102ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abaa527aef5d9c69cdc6a9f03f12f1484216a9546c0b2012619aec4182725470",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-06-22T20:23:35Z",
    "title_canon_sha256": "f27cfb1556fa6221f149d20388bd7acfeb580daa438e046c83a263bc1f065da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06781",
    "kind": "arxiv",
    "version": 4
  }
}