Pith Number

pith:SBNX4R53

pith:2018:SBNX4R53ZEH4QWOKGHPOCUIRTY

not attested not anchored not stored refs pending

A short proof of the ionization conjecture in M\"uller theory

Hanne Van Den Bosch, Phan Th\`anh Nam, Rupert L. Frank

arxiv:1807.11690 v1 · 2018-07-31 · math-ph · math.AP · 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{SBNX4R53ZEH4QWOKGHPOCUIRTY}

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	2026-05-18T00:09:21.378094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905b7e47bbc90fc859ca31dee151119e3c4790c1b336d1dbe87ad3f247080bf2

Aliases

arxiv: 1807.11690 · arxiv_version: 1807.11690v1 · doi: 10.48550/arxiv.1807.11690 · pith_short_12: SBNX4R53ZEH4 · pith_short_16: SBNX4R53ZEH4QWOK · pith_short_8: SBNX4R53

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/SBNX4R53ZEH4QWOKGHPOCUIRTY \
  | 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: 905b7e47bbc90fc859ca31dee151119e3c4790c1b336d1dbe87ad3f247080bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9068046f242493cb425282cab4fef5d89c2f5e63eb99c47cc2a00f9bdce2b7c2",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-31T07:23:51Z",
    "title_canon_sha256": "9940bd38b51f7e6ab103a94dbca3b6b382fcb60fdb666f7ec130f9286994236d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11690",
    "kind": "arxiv",
    "version": 1
  }
}