Pith Number

pith:LMQYWSZB

pith:2010:LMQYWSZBN4FEITSSLC3ZWM6BEA

not attested not anchored not stored refs pending

Effective Maxwell equations from time-dependent density functional theory

Jianfeng Lu, Weinan E, Xu Yang

arxiv:1010.4912 v1 · 2010-10-23 · math-ph · cond-mat.mtrl-sci · 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{LMQYWSZBN4FEITSSLC3ZWM6BEA}

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	2026-05-18T04:38:49.856911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b218b4b216f0a444e5258b79b33c120197177953ab7f270545877c71bb60222

Aliases

arxiv: 1010.4912 · arxiv_version: 1010.4912v1 · doi: 10.48550/arxiv.1010.4912 · pith_short_12: LMQYWSZBN4FE · pith_short_16: LMQYWSZBN4FEITSS · pith_short_8: LMQYWSZB

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/LMQYWSZBN4FEITSSLC3ZWM6BEA \
  | 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: 5b218b4b216f0a444e5258b79b33c120197177953ab7f270545877c71bb60222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9b915063ce7d084f1defc2170c58a26c4e55c9b41d882b8ab6fef2955a46b0",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-23T21:17:07Z",
    "title_canon_sha256": "7ea370d0e05106a73d50fdd7553ffe422627065c8a02a0714252a13b4b780044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4912",
    "kind": "arxiv",
    "version": 1
  }
}