Pith Number

pith:OP4Y3P32

pith:2010:OP4Y3P32JC7S5J2C3E45PIMGQZ

not attested not anchored not stored refs pending

Is the solution to the BCS gap equation continuous in the temperature ?

Shuji Watanabe

arxiv:1008.4436 v2 · 2010-08-26 · math-ph · cond-mat.supr-con · math.FA · 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{OP4Y3P32JC7S5J2C3E45PIMGQZ}

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	2026-05-18T03:14:39.507358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f98dbf7a48bf2ea742d939d7a186866824a846c61e3b54d3a1fc7773d039e2

Aliases

arxiv: 1008.4436 · arxiv_version: 1008.4436v2 · doi: 10.48550/arxiv.1008.4436 · pith_short_12: OP4Y3P32JC7S · pith_short_16: OP4Y3P32JC7S5J2C · pith_short_8: OP4Y3P32

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/OP4Y3P32JC7S5J2C3E45PIMGQZ \
  | 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: 73f98dbf7a48bf2ea742d939d7a186866824a846c61e3b54d3a1fc7773d039e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc99da91e3dba66b512ba1539f108f460a60c938df3099d326572c4cd2e91f28",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-26T05:53:37Z",
    "title_canon_sha256": "e723d5ce7671f1079c9e58c16ffeddd2bcf6d10abf76f047f8e8a52c360ce8b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4436",
    "kind": "arxiv",
    "version": 2
  }
}