Pith Number

pith:WF7NE5NW

pith:2017:WF7NE5NWAN2RZ6D6J3MNNCX5NH

not attested not anchored not stored refs pending

Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case

Lifeng Zhao, Xiao Ma, Ze Li

arxiv:1703.05207 v4 · 2017-03-15 · 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{WF7NE5NWAN2RZ6D6J3MNNCX5NH}

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	2026-05-17T23:47:44.574568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17ed275b603751cf87e4ed8d68afd69fa3c18d3bd89bcfe9e0089b580913780

Aliases

arxiv: 1703.05207 · arxiv_version: 1703.05207v4 · doi: 10.48550/arxiv.1703.05207 · pith_short_12: WF7NE5NWAN2R · pith_short_16: WF7NE5NWAN2RZ6D6 · pith_short_8: WF7NE5NW

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/WF7NE5NWAN2RZ6D6J3MNNCX5NH \
  | 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: b17ed275b603751cf87e4ed8d68afd69fa3c18d3bd89bcfe9e0089b580913780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7596df987f64d3b1924453e079850101eac05202078d199876c00dafd5cccc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-15T15:24:14Z",
    "title_canon_sha256": "4f118e442bade68bacd04fceac3b025c817f3fccaf959d22d8adcb744212f97f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05207",
    "kind": "arxiv",
    "version": 4
  }
}