Pith Number

pith:VP6MNFE2

pith:2011:VP6MNFE2TL4LZUA6JQXKCBFCYZ

not attested not anchored not stored refs pending

Exact expectation values within Richardson's approach for the pairing Hamiltonian in a macroscopic system

Eldad Bettelheim, Gregory Gorohovsky

arxiv:1111.1519 v3 · 2011-11-07 · cond-mat.supr-con · 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{VP6MNFE2TL4LZUA6JQXKCBFCYZ}

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	2026-05-18T04:06:20.444382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abfcc6949a9af8bcd01e4c2ea104a2c67572d538ee0e6619004e56717cffc248

Aliases

arxiv: 1111.1519 · arxiv_version: 1111.1519v3 · doi: 10.48550/arxiv.1111.1519 · pith_short_12: VP6MNFE2TL4L · pith_short_16: VP6MNFE2TL4LZUA6 · pith_short_8: VP6MNFE2

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/VP6MNFE2TL4LZUA6JQXKCBFCYZ \
  | 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: abfcc6949a9af8bcd01e4c2ea104a2c67572d538ee0e6619004e56717cffc248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f10ddf2b88993cc1766f46cc2a3a7dfa4e6a42f640d49f6f59c607c0a9be32b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2011-11-07T09:41:44Z",
    "title_canon_sha256": "678c96f5efad569cca9fcba91256a76283591309e6d11d95500b721e31c8442f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1519",
    "kind": "arxiv",
    "version": 3
  }
}