Pith Number

pith:EJH3KM7Z

pith:2018:EJH3KM7ZKIIZMHGPWRNCTVUNKL

not attested not anchored not stored refs pending

Control of harmonic map heat flow with an external field

Yuning Liu

arxiv:1809.01447 v2 · 2018-09-05 · 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{EJH3KM7ZKIIZMHGPWRNCTVUNKL}

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.

Cited by

1 paper in Pith

Local Exact Controllability of Landau-Lifshitz-Gilbert Equation

Receipt and verification

First computed	2026-07-05T01:25:01.107867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

224fb533f95211961ccfb45a29d68d52e8f9b895c4c5ae3b922a354290552ae6

Aliases

arxiv: 1809.01447 · arxiv_version: 1809.01447v2 · doi: 10.48550/arxiv.1809.01447 · pith_short_12: EJH3KM7ZKIIZ · pith_short_16: EJH3KM7ZKIIZMHGP · pith_short_8: EJH3KM7Z

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/EJH3KM7ZKIIZMHGPWRNCTVUNKL \
  | 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: 224fb533f95211961ccfb45a29d68d52e8f9b895c4c5ae3b922a354290552ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a79a460364cf8eb84cc46546b1c5e5e47c8a00a796efe7195b8648cffbe246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-05T11:54:13Z",
    "title_canon_sha256": "84c43e67e4458bfb251d5f2bbced53c8caf46e6100f806f355a4fe160cb41a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01447",
    "kind": "arxiv",
    "version": 2
  }
}