Pith Number

pith:OEDF3II3

pith:2026:OEDF3II3Z2AG5V3IMLRXOYGHEW

not attested not anchored not stored refs pending

Unconditional Well-posedness for the MMT Equation on the Torus

James Patterson, Mahendra Panthee, Yuzhao Wang

arxiv:2606.28290 v1 · 2026-06-26 · 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{OEDF3II3Z2AG5V3IMLRXOYGHEW}

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	2026-06-29T01:15:12.199229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71065da11bce806ed76862e37760c725aede422314b48c4f291b599165b4a1aa

Aliases

arxiv: 2606.28290 · arxiv_version: 2606.28290v1 · doi: 10.48550/arxiv.2606.28290 · pith_short_12: OEDF3II3Z2AG · pith_short_16: OEDF3II3Z2AG5V3I · pith_short_8: OEDF3II3

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/OEDF3II3Z2AG5V3IMLRXOYGHEW \
  | 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: 71065da11bce806ed76862e37760c725aede422314b48c4f291b599165b4a1aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c498413300601c3fc5774a51360057c067558cf0f65dd4232199817f1949085",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-26T17:35:24Z",
    "title_canon_sha256": "5667c13990c5a594ca0726e11cb8c9627678304d5898225072f6003b150fcf10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28290",
    "kind": "arxiv",
    "version": 1
  }
}