Pith Number

pith:TC5C45OR

pith:2018:TC5C45OR6EMGACCJ4RVP5YHZV5

not attested not anchored not stored refs pending

The BCS critical temperature in a weak external electric field via a linear two-body operator

Christian Hainzl, Rupert L. Frank

arxiv:1809.08667 v1 · 2018-09-23 · 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{TC5C45OR6EMGACCJ4RVP5YHZV5}

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	2026-05-18T00:05:03.824741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ba2e75d1f118600849e46afee0f9af4009ab46bed3157f4ba16699b7cbbfea

Aliases

arxiv: 1809.08667 · arxiv_version: 1809.08667v1 · doi: 10.48550/arxiv.1809.08667 · pith_short_12: TC5C45OR6EMG · pith_short_16: TC5C45OR6EMGACCJ · pith_short_8: TC5C45OR

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/TC5C45OR6EMGACCJ4RVP5YHZV5 \
  | 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: 98ba2e75d1f118600849e46afee0f9af4009ab46bed3157f4ba16699b7cbbfea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3170fb8e8bb4b6be4300ce8bcd3069bf6a9ae27c3fc8e03436e7445141324502",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-23T19:59:56Z",
    "title_canon_sha256": "32f13d6cf0a7a4db4a0b10697b011ce901c4bf3e4b87be5f666b6fb34d161086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08667",
    "kind": "arxiv",
    "version": 1
  }
}