Pith. sign in
Pith Number

pith:TOH5ET6V

pith:2024:TOH5ET6VH6JCHI7T6SPZNAUMER
not attested not anchored not stored refs pending

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations

Li Tu, Yi Zhou

arxiv:2410.13656 v2 · 2024-10-17 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TOH5ET6VH6JCHI7T6SPZNAUMER}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T10:02:53.413527Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9b8fd24fd53f9223a3f3f49f96828c2459e6ebe110ac66fc6d4ae7f71e84e917

Aliases

arxiv: 2410.13656 · arxiv_version: 2410.13656v2 · doi: 10.48550/arxiv.2410.13656 · pith_short_12: TOH5ET6VH6JC · pith_short_16: TOH5ET6VH6JCHI7T · pith_short_8: TOH5ET6V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TOH5ET6VH6JCHI7T6SPZNAUMER \
  | 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: 9b8fd24fd53f9223a3f3f49f96828c2459e6ebe110ac66fc6d4ae7f71e84e917
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e5a867c66ddd18963ec3e707c0b29fda5079943a5868ca63644dda44a04bf472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-17T15:20:14Z",
    "title_canon_sha256": "9fa8c4e03cbacbddaf1f11d2b79282416384e0bd22db176ed47f3d6169539955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.13656",
    "kind": "arxiv",
    "version": 2
  }
}