Pith Number

pith:3QMI4XA2

pith:2012:3QMI4XA22JGSRSL3SXOCJPL6C6

not attested not anchored not stored refs pending

Quantum loop expansion to high orders, extended Borel summation, and comparison with exact results

Amna Noreen, K{\aa}re Olaussen

arxiv:1209.6242 v1 · 2012-09-27 · math-ph · math.MP · physics.comp-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QMI4XA22JGSRSL3SXOCJPL6C6}

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	2026-05-18T03:44:34.874276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc188e5c1ad24d28c97b95dc24bd7e17b6c790052f54e59d37c1f5cca03f44ff

Aliases

arxiv: 1209.6242 · arxiv_version: 1209.6242v1 · doi: 10.48550/arxiv.1209.6242 · pith_short_12: 3QMI4XA22JGS · pith_short_16: 3QMI4XA22JGSRSL3 · pith_short_8: 3QMI4XA2

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/3QMI4XA22JGSRSL3SXOCJPL6C6 \
  | 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: dc188e5c1ad24d28c97b95dc24bd7e17b6c790052f54e59d37c1f5cca03f44ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb2d6705474764e0a5a1aaa716afbf207bbe015bdafc6ac633d69bf4c34dee7",
    "cross_cats_sorted": [
      "math.MP",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-27T14:19:06Z",
    "title_canon_sha256": "e99fd0ccc5b9432d8f8fc8f9b789dde6b5dcbe81282f3497927695f7d462f54c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6242",
    "kind": "arxiv",
    "version": 1
  }
}