Pith Number

pith:4UINMEK4

pith:2015:4UINMEK4CWMZPBCAKYINKTITQJ

not attested not anchored not stored refs pending

Probabilistic well-posedness for supercritical wave equation on $\mathbb{T}^3$

Bo Xia, Chenmin Sun

arxiv:1508.00228 v3 · 2015-08-02 · 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{4UINMEK4CWMZPBCAKYINKTITQJ}

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	2026-05-18T01:29:38.031076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e510d6115c15999784405610d54d13827ee3de526dcbf1b3546f4c0911dd5431

Aliases

arxiv: 1508.00228 · arxiv_version: 1508.00228v3 · doi: 10.48550/arxiv.1508.00228 · pith_short_12: 4UINMEK4CWMZ · pith_short_16: 4UINMEK4CWMZPBCA · pith_short_8: 4UINMEK4

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/4UINMEK4CWMZPBCAKYINKTITQJ \
  | 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: e510d6115c15999784405610d54d13827ee3de526dcbf1b3546f4c0911dd5431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b86796057c404a6bb833486395c9c2129ff0a3d9fb7f657a2d1fa59746e900",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-02T13:05:56Z",
    "title_canon_sha256": "c2a561e3322abbad937cc9a61d13a46f766b5e234bd2a0cc5f3f85edaeb96804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00228",
    "kind": "arxiv",
    "version": 3
  }
}