Pith Number

pith:MN7NNDPS

pith:2011:MN7NNDPS6ZVTRMC3EBOAJJ6MQP

not attested not anchored not stored refs pending

Cauchy-Born rule and spin density wave for the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model

Jianfeng Lu, Weinan E

arxiv:1102.5545 v1 · 2011-02-27 · 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{MN7NNDPS6ZVTRMC3EBOAJJ6MQP}

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	2026-05-18T04:27:46.618666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637ed68df2f66b38b05b205c04a7cc83d56d689a41c16d42aa57827ff3b434ed

Aliases

arxiv: 1102.5545 · arxiv_version: 1102.5545v1 · doi: 10.48550/arxiv.1102.5545 · pith_short_12: MN7NNDPS6ZVT · pith_short_16: MN7NNDPS6ZVTRMC3 · pith_short_8: MN7NNDPS

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/MN7NNDPS6ZVTRMC3EBOAJJ6MQP \
  | 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: 637ed68df2f66b38b05b205c04a7cc83d56d689a41c16d42aa57827ff3b434ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577eac594564bd8a695e8181463d8eb81348747663bb6b520ca5ff2ce3493e80",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-27T20:03:05Z",
    "title_canon_sha256": "36e0715bd1f02b93ce1a14d483c711cbd7ae8dbecfcfcbfac72cd6633b1f58e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5545",
    "kind": "arxiv",
    "version": 1
  }
}