Pith Number

pith:PALRW5WX

pith:2010:PALRW5WX423PYUWHIXH3UZB5GF

not attested not anchored not stored refs pending

Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities

Alexey Kokotov, Luc Hillairet (LMJL)

arxiv:1011.5034 v2 · 2010-11-23 · 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{PALRW5WX423PYUWHIXH3UZB5GF}

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	2026-05-18T04:01:23.334602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78171b76d7e6b6fc52c745cfba643d316b91c34326090d4314a0bf41231dfba5

Aliases

arxiv: 1011.5034 · arxiv_version: 1011.5034v2 · doi: 10.48550/arxiv.1011.5034 · pith_short_12: PALRW5WX423P · pith_short_16: PALRW5WX423PYUWH · pith_short_8: PALRW5WX

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/PALRW5WX423PYUWHIXH3UZB5GF \
  | 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: 78171b76d7e6b6fc52c745cfba643d316b91c34326090d4314a0bf41231dfba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1fd23edc15f549421ff2d085819029d171048dd6e387d8bdc6336ce7db0507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-11-23T09:24:14Z",
    "title_canon_sha256": "b2179794b63516646a7ad83fe35044015fc9edad57c5fd8b2670d8f050dafebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5034",
    "kind": "arxiv",
    "version": 2
  }
}