Pith Number

pith:T4G6YEIV

pith:2010:T4G6YEIVFV3DS5T6AD4PLBBGDT

not attested not anchored not stored refs pending

Generalized Landau-Lifshitz Equation into $S^n$

Chong Song, Jie Yu

arxiv:1009.2335 v1 · 2010-09-13 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4G6YEIVFV3DS5T6AD4PLBBGDT}

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	2026-05-18T04:41:04.408543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0dec11152d7639767e00f8f584261cea3b295fc47c4f9f95493b23aef2828b

Aliases

arxiv: 1009.2335 · arxiv_version: 1009.2335v1 · doi: 10.48550/arxiv.1009.2335 · pith_short_12: T4G6YEIVFV3D · pith_short_16: T4G6YEIVFV3DS5T6 · pith_short_8: T4G6YEIV

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/T4G6YEIVFV3DS5T6AD4PLBBGDT \
  | 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: 9f0dec11152d7639767e00f8f584261cea3b295fc47c4f9f95493b23aef2828b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc209115a115f872ba2d1e3d1ab2db4e1950b9d90f881ee7a440632b9c69d15e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-13T09:27:18Z",
    "title_canon_sha256": "dbe489be238ded3f7a7033f266445ef65abfb683ea15c7192e89558eb056a174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2335",
    "kind": "arxiv",
    "version": 1
  }
}