Pith Number

pith:TXAJQSFR

pith:2015:TXAJQSFRBLQXYESHHBDPAZB2SM

not attested not anchored not stored refs pending

On the negative spectrum of the Robin Laplacian in corner domains

Nicolas Popoff, Vincent Bruneau

arxiv:1511.08155 v2 · 2015-11-25 · 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{TXAJQSFRBLQXYESHHBDPAZB2SM}

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	2026-05-18T01:10:08.079531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc09848b10ae17c12473846f0643a9337015b521aefac52c3a3cca375e4ff05

Aliases

arxiv: 1511.08155 · arxiv_version: 1511.08155v2 · doi: 10.48550/arxiv.1511.08155 · pith_short_12: TXAJQSFRBLQX · pith_short_16: TXAJQSFRBLQXYESH · pith_short_8: TXAJQSFR

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/TXAJQSFRBLQXYESHHBDPAZB2SM \
  | 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: 9dc09848b10ae17c12473846f0643a9337015b521aefac52c3a3cca375e4ff05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad66f6fbceed968c15b199aa5ba0cb59c1eb7b7dac10f5a1d03c45c7f6e0382e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-25T19:03:15Z",
    "title_canon_sha256": "06e0d79621805595f655232dc8f5eaa4f2a3111a87d626f5045f62d2f5d084ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08155",
    "kind": "arxiv",
    "version": 2
  }
}