Pith Number

pith:A3FRL5KK

pith:2016:A3FRL5KKCARPRYRB6MEXL7NQC4

not attested not anchored not stored refs pending

Convergence to harmonic maps for the Landau-Lifshitz flows on two dimensional hyperbolic spaces

Lifeng Zhao, Ze Li

arxiv:1611.10180 v2 · 2016-11-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3FRL5KKCARPRYRB6MEXL7NQC4}

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	2026-05-18T00:40:07.697491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06cb15f54a1022f8e221f30975fdb01736a8d59511c12a91efd3bff31c4ea82e

Aliases

arxiv: 1611.10180 · arxiv_version: 1611.10180v2 · doi: 10.48550/arxiv.1611.10180 · pith_short_12: A3FRL5KKCARP · pith_short_16: A3FRL5KKCARPRYRB · pith_short_8: A3FRL5KK

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/A3FRL5KKCARPRYRB6MEXL7NQC4 \
  | 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: 06cb15f54a1022f8e221f30975fdb01736a8d59511c12a91efd3bff31c4ea82e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bbeda4592f2068de3f98bdb280562eec806b6e8478ef0fb1afe02bd9c07c762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-30T14:38:41Z",
    "title_canon_sha256": "b08d7582d3dea835db7ee73a69a3be3d8ad93075e57c8d1eabee80cb0381b53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10180",
    "kind": "arxiv",
    "version": 2
  }
}