Pith Number

pith:KKO45OLN

pith:2011:KKO45OLNAMLWBZ65AZMJZ46IZA

not attested not anchored not stored refs pending

Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation

Jian-Guo Liu, Pierre Degond (IMT)

arxiv:1108.2951 v1 · 2011-08-15 · 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{KKO45OLNAMLWBZ65AZMJZ46IZA}

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	2026-05-18T02:54:47.451581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529dceb96d031760e7dd06589cf3c8c801be1ef4684d805fdee6909c6343827a

Aliases

arxiv: 1108.2951 · arxiv_version: 1108.2951v1 · doi: 10.48550/arxiv.1108.2951 · pith_short_12: KKO45OLNAMLW · pith_short_16: KKO45OLNAMLWBZ65 · pith_short_8: KKO45OLN

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/KKO45OLNAMLWBZ65AZMJZ46IZA \
  | 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: 529dceb96d031760e7dd06589cf3c8c801be1ef4684d805fdee6909c6343827a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a63a29b9d2251001acc22be67fd2a0127bec9dc144f2efb062c9eb0b293698",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-15T07:59:14Z",
    "title_canon_sha256": "6c234ced5ae212130b58adec70a55d9c8269b7baccd5a2a662eea703f63fd0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2951",
    "kind": "arxiv",
    "version": 1
  }
}