Pith Number

pith:HAWQNRRT

pith:2011:HAWQNRRTL5QWLIGG54H7MVJYLC

not attested not anchored not stored refs pending

Energy of N Cooper pair by analytically solving Richardson-Gaudin equations

Michel Crouzeix, Monique Combescot

arxiv:1111.5801 v1 · 2011-11-24 · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAWQNRRTL5QWLIGG54H7MVJYLC}

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	2026-05-18T04:07:42.265923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382d06c6335f6165a0c6ef0ff6553858916ef509611ce0263241d39d0d29faff

Aliases

arxiv: 1111.5801 · arxiv_version: 1111.5801v1 · doi: 10.48550/arxiv.1111.5801 · pith_short_12: HAWQNRRTL5QW · pith_short_16: HAWQNRRTL5QWLIGG · pith_short_8: HAWQNRRT

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/HAWQNRRTL5QWLIGG54H7MVJYLC \
  | 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: 382d06c6335f6165a0c6ef0ff6553858916ef509611ce0263241d39d0d29faff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14977569164769f4175fecce8b1366199403b9486f19208694520fc59264d58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2011-11-24T15:41:40Z",
    "title_canon_sha256": "ac77ceee1e90998fa80a6ce6c88cdd92a9f234b086ac5e514d59f7816b3cb1f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5801",
    "kind": "arxiv",
    "version": 1
  }
}