Pith Number

pith:MWHXVWAF

pith:2016:MWHXVWAF2VECQ5ZGTZL4ZPF2EY

not attested not anchored not stored refs pending

Nonexistence of large nuclei in the liquid drop model

Phan Th\`anh Nam, Rowan Killip, Rupert L. Frank

arxiv:1604.03231 v2 · 2016-04-12 · 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{MWHXVWAF2VECQ5ZGTZL4ZPF2EY}

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	2026-05-18T01:11:44.532996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

658f7ad805d5482877269e57ccbcba26080b9ae5dcf658ce26e6f724e90a9370

Aliases

arxiv: 1604.03231 · arxiv_version: 1604.03231v2 · doi: 10.48550/arxiv.1604.03231 · pith_short_12: MWHXVWAF2VEC · pith_short_16: MWHXVWAF2VECQ5ZG · pith_short_8: MWHXVWAF

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/MWHXVWAF2VECQ5ZGTZL4ZPF2EY \
  | 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: 658f7ad805d5482877269e57ccbcba26080b9ae5dcf658ce26e6f724e90a9370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7d8ed148ec245a318fe7e5572a26e92ac325c8cf833e4ea5afd8877614cdba",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-12T03:24:23Z",
    "title_canon_sha256": "761668ccc14e6b2a2c09bde39ca7053bf42e64d3324aae6e2f68ab9bd469e815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03231",
    "kind": "arxiv",
    "version": 2
  }
}