Pith Number

pith:4RGNYV6K

pith:2013:4RGNYV6KO2DZCFH66CQSPCXYTE

not attested not anchored not stored refs pending

Heat trace asymptotics and compactness of isospectral potentials for the Dirichlet Laplacian

Eric Soccorsi (CPT), Laurent Kayser (IECL), Mourad Choulli (IECL), Yavar Kian (CPT)

arxiv:1312.3170 v1 · 2013-12-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RGNYV6KO2DZCFH66CQSPCXYTE}

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	2026-05-18T03:05:00.305122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44cdc57ca76879114fef0a1278af899397494878c3c12f77c6ee04817352a50

Aliases

arxiv: 1312.3170 · arxiv_version: 1312.3170v1 · doi: 10.48550/arxiv.1312.3170 · pith_short_12: 4RGNYV6KO2DZ · pith_short_16: 4RGNYV6KO2DZCFH6 · pith_short_8: 4RGNYV6K

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/4RGNYV6KO2DZCFH66CQSPCXYTE \
  | 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: e44cdc57ca76879114fef0a1278af899397494878c3c12f77c6ee04817352a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5326863c9e1a1e973cbea6be83a41df1f572c5a527c87a02d81dad653800492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-11T14:06:44Z",
    "title_canon_sha256": "e0b9298362c10bb65bb0ef6e0c1ef7dde3d94c78783b8f88ec9687995b5862d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3170",
    "kind": "arxiv",
    "version": 1
  }
}