Pith Number

pith:3U3RMTBC

pith:2013:3U3RMTBCSMJ663BWLA5JREROKN

not attested not anchored not stored refs pending

The defocusing energy-supercritical NLS in four space dimensions

Changxing Miao, Jason Murphy, Jiqiang Zheng

arxiv:1305.3993 v1 · 2013-05-17 · 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{3U3RMTBCSMJ663BWLA5JREROKN}

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	2026-05-18T02:40:18.748470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd37164c229313ef6c36583a98922e537c22c360784f09fec11e97436b4c57fe

Aliases

arxiv: 1305.3993 · arxiv_version: 1305.3993v1 · doi: 10.48550/arxiv.1305.3993 · pith_short_12: 3U3RMTBCSMJ6 · pith_short_16: 3U3RMTBCSMJ663BW · pith_short_8: 3U3RMTBC

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/3U3RMTBCSMJ663BWLA5JREROKN \
  | 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: dd37164c229313ef6c36583a98922e537c22c360784f09fec11e97436b4c57fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245c887b80481460ff6ac60e8c162fffe777a7a97267e0d238052c0d43ee614c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-17T06:48:09Z",
    "title_canon_sha256": "6fc781d839cd64803e2e00ab23025dcb64b24add7216a2e8c5c4085df0728247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3993",
    "kind": "arxiv",
    "version": 1
  }
}