Pith Number

pith:VH5R7WBF

pith:2011:VH5R7WBFSNIPGRUC2KTYLVUJU5

not attested not anchored not stored refs pending

Analytic behavior of the QED polarizability function at finite temperature

A. Bernal, A. Perez

arxiv:1101.3862 v1 · 2011-01-20 · 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{VH5R7WBFSNIPGRUC2KTYLVUJU5}

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	2026-05-18T04:31:20.920430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fb1fd8259350f34682d2a785d689a75431dd15473d830f13f823f89c971d75

Aliases

arxiv: 1101.3862 · arxiv_version: 1101.3862v1 · doi: 10.48550/arxiv.1101.3862 · pith_short_12: VH5R7WBFSNIP · pith_short_16: VH5R7WBFSNIPGRUC · pith_short_8: VH5R7WBF

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/VH5R7WBFSNIPGRUC2KTYLVUJU5 \
  | 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: a9fb1fd8259350f34682d2a785d689a75431dd15473d830f13f823f89c971d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bca358d2a1847f640856dca3940673b6526d6bf7d078d60b997ed745fd3a4d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-20T10:23:06Z",
    "title_canon_sha256": "0d8848d5ae9b1ce20fb16c616ed643f71ee23a2996367a3b179259c48c3e6def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3862",
    "kind": "arxiv",
    "version": 1
  }
}