Pith Number

pith:MPVBIREV

pith:2016:MPVBIREVOKUR666BKHTEHQCU6X

not attested not anchored not stored refs pending

Tight upper and lower bounds to the eigenvalues and critical parameters of a double well

Francisco M. Fern\'andez

arxiv:1607.03692 v1 · 2016-07-13 · quant-ph · 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{MPVBIREVOKUR666BKHTEHQCU6X}

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	2026-05-18T01:11:07.335711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ea14449572a91f7bc151e643c054f5f1c599c426eb3766ec9e1a58deb86bf9

Aliases

arxiv: 1607.03692 · arxiv_version: 1607.03692v1 · doi: 10.48550/arxiv.1607.03692 · pith_short_12: MPVBIREVOKUR · pith_short_16: MPVBIREVOKUR666B · pith_short_8: MPVBIREV

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/MPVBIREVOKUR666BKHTEHQCU6X \
  | 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: 63ea14449572a91f7bc151e643c054f5f1c599c426eb3766ec9e1a58deb86bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b4bd0c737b4e842e842b0825224d90d045b62d37a277009332d6269af3fd01",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-13T12:15:21Z",
    "title_canon_sha256": "84f31e3a172242cba3b6eded46a51d66ef4f2070f4ad90482524143a910d36f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03692",
    "kind": "arxiv",
    "version": 1
  }
}