Pith Number

pith:LUOWR7FX

pith:2010:LUOWR7FXPZMAO6YXFLIBO7FKKR

not attested not anchored not stored refs pending

Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings

Arzu Boysal, Michele Vergne

arxiv:1008.0263 v2 · 2010-08-02 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUOWR7FXPZMAO6YXFLIBO7FKKR}

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	2026-05-18T04:32:54.475651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1d68fcb77e58077b172ad0177caa545c8e8b6055f1b3889136be2789deda80

Aliases

arxiv: 1008.0263 · arxiv_version: 1008.0263v2 · doi: 10.48550/arxiv.1008.0263 · pith_short_12: LUOWR7FXPZMA · pith_short_16: LUOWR7FXPZMAO6YX · pith_short_8: LUOWR7FX

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/LUOWR7FXPZMAO6YXFLIBO7FKKR \
  | 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: 5d1d68fcb77e58077b172ad0177caa545c8e8b6055f1b3889136be2789deda80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821f5c5823c6ff85657793955f33e0d1a56f3f316a88b468dc1071fd8fdf26a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-02T09:32:48Z",
    "title_canon_sha256": "ca4652953aa8deba64b15f85cb7a845f7ae94979e4915b04ef0c8b1ddc0bdffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0263",
    "kind": "arxiv",
    "version": 2
  }
}