Pith Number

pith:UPQ2UKME

pith:2015:UPQ2UKMERSADV65J3LMK4DRI2E

not attested not anchored not stored refs pending

The BCS functional of superconductivity and its mathematical properties

Christian Hainzl, Robert Seiringer

arxiv:1511.01995 v1 · 2015-11-06 · math-ph · cond-mat.supr-con · 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{UPQ2UKMERSADV65J3LMK4DRI2E}

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	2026-05-18T01:03:44.287985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e1aa29848c803afba9dad8ae0e28d1150d59dd3ee496a67946e781268377fc

Aliases

arxiv: 1511.01995 · arxiv_version: 1511.01995v1 · doi: 10.48550/arxiv.1511.01995 · pith_short_12: UPQ2UKMERSAD · pith_short_16: UPQ2UKMERSADV65J · pith_short_8: UPQ2UKME

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/UPQ2UKMERSADV65J3LMK4DRI2E \
  | 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: a3e1aa29848c803afba9dad8ae0e28d1150d59dd3ee496a67946e781268377fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c960ed15c35eea4ce66b773b3f9f4778defd6e30317cef6fac13f23daa772c9f",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-06T07:24:08Z",
    "title_canon_sha256": "9c1a0c8f55a8af005039a4c1d6b06197e64e78cb0a8138c1bc6dc670589d2148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01995",
    "kind": "arxiv",
    "version": 1
  }
}