Pith Number

pith:PRV5PGNL

pith:2012:PRV5PGNLGLJF2DWRQNB72AVPE5

not attested not anchored not stored refs pending

On the Efficient Calculation of a Linear Combination of Chi-Square Random Variables with an Application in Counting String Vacua

Johannes Bausch

arxiv:1208.2691 v3 · 2012-08-13 · math.PR · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRV5PGNLGLJF2DWRQNB72AVPE5}

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	2026-05-18T03:06:05.015224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6bd799ab32d25d0ed18343fd02af277ddc8b579a58da1f35866301ef02a207

Aliases

arxiv: 1208.2691 · arxiv_version: 1208.2691v3 · doi: 10.48550/arxiv.1208.2691 · pith_short_12: PRV5PGNLGLJF · pith_short_16: PRV5PGNLGLJF2DWR · pith_short_8: PRV5PGNL

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/PRV5PGNLGLJF2DWRQNB72AVPE5 \
  | 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: 7c6bd799ab32d25d0ed18343fd02af277ddc8b579a58da1f35866301ef02a207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099048e5c301eb18751f3cf75c7b25c21b6cd14674caeea550962954663cc357",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-13T20:00:04Z",
    "title_canon_sha256": "88acfa4c7b99a28e0d301220937ab875fea88c4497df881e3c65c6efe016f2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2691",
    "kind": "arxiv",
    "version": 3
  }
}