Pith Number

pith:HIAQKMR7

pith:2021:HIAQKMR7UYQK2JPIME3ET6QZQG

not attested not anchored not stored refs pending

Local well-posedness for the Zakharov system in dimension $d=2, 3$

Shengkun Wu, Zijun Chen

arxiv:2103.15347 v2 · 2021-03-29 · 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{HIAQKMR7UYQK2JPIME3ET6QZQG}

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	2026-07-05T03:46:19.724409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0105323fa620ad25e8613649fa19818cdfa7954ed049f8ed7caebfdff50d82

Aliases

arxiv: 2103.15347 · arxiv_version: 2103.15347v2 · doi: 10.48550/arxiv.2103.15347 · pith_short_12: HIAQKMR7UYQK · pith_short_16: HIAQKMR7UYQK2JPI · pith_short_8: HIAQKMR7

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/HIAQKMR7UYQK2JPIME3ET6QZQG \
  | 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: 3a0105323fa620ad25e8613649fa19818cdfa7954ed049f8ed7caebfdff50d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e350f8529db1af55d96c9345caf949e915601b5b9c55ed0d10aa577443df50c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-03-29T05:54:20Z",
    "title_canon_sha256": "13159732daffbecd0810358676a29cc55c9e304d3ae627d58f330bd72a2141c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15347",
    "kind": "arxiv",
    "version": 2
  }
}