Pith Number

pith:6HMQ3YOG

pith:2010:6HMQ3YOG5R7YHLZMT4QLW4CHZ2

not attested not anchored not stored refs pending

Smoothness and analyticity of perturbation expansions in QED

David Hasler, Ira Herbst

arxiv:1007.0969 v2 · 2010-07-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HMQ3YOG5R7YHLZMT4QLW4CHZ2}

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	2026-05-18T04:41:24.797421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d90de1c6ec7f83af2c9f20bb7047ceba8af94dc9264a039f292bac939397fb

Aliases

arxiv: 1007.0969 · arxiv_version: 1007.0969v2 · doi: 10.48550/arxiv.1007.0969 · pith_short_12: 6HMQ3YOG5R7Y · pith_short_16: 6HMQ3YOG5R7YHLZM · pith_short_8: 6HMQ3YOG

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/6HMQ3YOG5R7YHLZMT4QLW4CHZ2 \
  | 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: f1d90de1c6ec7f83af2c9f20bb7047ceba8af94dc9264a039f292bac939397fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58bd3c50078b7e8e64b0890ad6dd0d50f3d1988c2ea0a8471ff70ddc09988386",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-06T17:42:34Z",
    "title_canon_sha256": "9a37d7c8e6031f0ee320f4560c7d16699255a1987879c91acd4ee34a0a416dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0969",
    "kind": "arxiv",
    "version": 2
  }
}