Pith Number

pith:Z2N635MC

pith:2021:Z2N635MCJIEMSGQN4L2WZSFTZP

not attested not anchored not stored refs pending

The radial defocusing energy-supercritical NLS in dimension four

Chao Lu, Jiqiang Zheng

arxiv:2104.15035 v2 · 2021-04-30 · 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{Z2N635MCJIEMSGQN4L2WZSFTZP}

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	2026-07-05T02:36:53.081984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9bedf5824a08c91a0de2f56cc8b3cbd91277e98513b1901e6eb697436250d3

Aliases

arxiv: 2104.15035 · arxiv_version: 2104.15035v2 · doi: 10.48550/arxiv.2104.15035 · pith_short_12: Z2N635MCJIEM · pith_short_16: Z2N635MCJIEMSGQN · pith_short_8: Z2N635MC

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/Z2N635MCJIEMSGQN4L2WZSFTZP \
  | 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: ce9bedf5824a08c91a0de2f56cc8b3cbd91277e98513b1901e6eb697436250d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214a0936589b57e0e1018524289ccf3541fe2b3ce3fdb9edc8baaeee9e00e3f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-30T14:49:01Z",
    "title_canon_sha256": "c6d92b64f9630927ce3eec3ca9e5448d8e1674dee58f4aa16b014b4a5f3da59f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.15035",
    "kind": "arxiv",
    "version": 2
  }
}