Pith Number

pith:GNWVNUP3

pith:2021:GNWVNUP3W5WXZRIX7AVLNMWWVL

not attested not anchored not stored refs pending

Global Well-Posedness For Half-Wave Maps With $S^2$ and $\mathbb{H}^2$ Targets For Small Smooth Initial Data

Yang Liu

arxiv:2109.13657 v2 · 2021-09-28 · 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{GNWVNUP3W5WXZRIX7AVLNMWWVL}

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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

Scattering of Rational Solutions to the Half-Wave Maps Equation

Receipt and verification

First computed	2026-07-05T05:32:43.075738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336d56d1fbb76d7cc517f82ab6b2d6aadef59964263ca54772ec69c222dc4522

Aliases

arxiv: 2109.13657 · arxiv_version: 2109.13657v2 · doi: 10.48550/arxiv.2109.13657 · pith_short_12: GNWVNUP3W5WX · pith_short_16: GNWVNUP3W5WXZRIX · pith_short_8: GNWVNUP3

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/GNWVNUP3W5WXZRIX7AVLNMWWVL \
  | 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: 336d56d1fbb76d7cc517f82ab6b2d6aadef59964263ca54772ec69c222dc4522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7601e7c75535ba4c8bea39c77a77f12fb0bafd4af69e451e626adbe029797bc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-28T12:18:00Z",
    "title_canon_sha256": "0ec4bbc6fb2578dca2c2b3403258568d0fda5a60f78cfa627e175259bd45aade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13657",
    "kind": "arxiv",
    "version": 2
  }
}