Pith Number

pith:MQBJVQ7E

pith:2012:MQBJVQ7EQ3J5VERRBA2IITGURQ

not attested not anchored not stored refs pending

Determinant of pseudo-laplacians

Alexey Kokotov, Luc Hillairet, Tayeb Aissiou

arxiv:1202.4027 v1 · 2012-02-17 · 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{MQBJVQ7EQ3J5VERRBA2IITGURQ}

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	2026-05-18T01:21:39.850090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64029ac3e486d3da92310834844cd48c0d9b55dfeedb25983a2615d28c6fc1a4

Aliases

arxiv: 1202.4027 · arxiv_version: 1202.4027v1 · doi: 10.48550/arxiv.1202.4027 · pith_short_12: MQBJVQ7EQ3J5 · pith_short_16: MQBJVQ7EQ3J5VERR · pith_short_8: MQBJVQ7E

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/MQBJVQ7EQ3J5VERRBA2IITGURQ \
  | 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: 64029ac3e486d3da92310834844cd48c0d9b55dfeedb25983a2615d28c6fc1a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b21701306996b9b8bc754c4654609374c9802078c5af82b44a8646ee68a06c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-17T21:54:12Z",
    "title_canon_sha256": "c5f9e97c2e5010760abd838adcc143d9437bd97e63667f140306ca84c7ed0cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4027",
    "kind": "arxiv",
    "version": 1
  }
}