pith. sign in
Pith Number

pith:2REF5B5P

pith:2012:2REF5B5PLIT7NYJYYLKPNAC2JT
not attested not anchored not stored refs pending

Low regularity bounds for mKdV

Daniel Tataru, Justin Holmer, Michael Christ

arxiv:1207.6738 v1 · 2012-07-29 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2REF5B5PLIT7NYJYYLKPNAC2JT}

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 2026-05-18T03:49:48.894676Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4485e87af5a27f6e138c2d4f6805a4ce28d4da587bcffc79e4c6b34722383c3

Aliases

arxiv: 1207.6738 · arxiv_version: 1207.6738v1 · doi: 10.48550/arxiv.1207.6738 · pith_short_12: 2REF5B5PLIT7 · pith_short_16: 2REF5B5PLIT7NYJY · pith_short_8: 2REF5B5P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2REF5B5PLIT7NYJYYLKPNAC2JT \
  | 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: d4485e87af5a27f6e138c2d4f6805a4ce28d4da587bcffc79e4c6b34722383c3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "255a6e8f2c6d31ee424a17f28dfbd63c678ed85c9ac0dc6e3236cb016ba69784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-29T01:16:30Z",
    "title_canon_sha256": "15e3d0ecbbefc08e817d4263b017b77a0884c55d5a170678a5c10ed9dfbdc10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6738",
    "kind": "arxiv",
    "version": 1
  }
}