Pith Number

pith:F27OF5ZR

pith:2022:F27OF5ZRWMUNYXONB42TAAQP6M

not attested not anchored not stored refs pending

Observability of dispersive equations from line segments on the torus

Ming Wang, Yunlei Wang

arxiv:2205.04654 v4 · 2022-05-10 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F27OF5ZRWMUNYXONB42TAAQP6M}

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	2026-07-05T07:39:06.571991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ebee2f731b328dc5dcd0f3530020ff321099182c81aeb138312bb082589f76c

Aliases

arxiv: 2205.04654 · arxiv_version: 2205.04654v4 · doi: 10.48550/arxiv.2205.04654 · pith_short_12: F27OF5ZRWMUN · pith_short_16: F27OF5ZRWMUNYXON · pith_short_8: F27OF5ZR

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/F27OF5ZRWMUNYXONB42TAAQP6M \
  | 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: 2ebee2f731b328dc5dcd0f3530020ff321099182c81aeb138312bb082589f76c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40677cc52ba074b0913c99c1bd76005568a442ec00c2bfcb372e5564442a1100",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-05-10T03:46:14Z",
    "title_canon_sha256": "4d04820cfc82fd2cb09b391c6cb02a4c73922f24980be655280c1faf6c47255c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.04654",
    "kind": "arxiv",
    "version": 4
  }
}