Pith Number

pith:M6DOAXZC

pith:2026:M6DOAXZCJHZWMSQ574W2YSXPL5

not attested not anchored not stored refs pending

Minus one Homogeneous Euler Flows are Geodesible

Chunjing Xie, Ken Abe, Naoki Sato

arxiv:2606.18655 v1 · 2026-06-17 · 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{M6DOAXZCJHZWMSQ574W2YSXPL5}

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	2026-06-19T16:11:43.741911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6786e05f2249f3664a1dff2dac4aef5f4601eb0943245eea4df7286ed6bd6201

Aliases

arxiv: 2606.18655 · arxiv_version: 2606.18655v1 · doi: 10.48550/arxiv.2606.18655 · pith_short_12: M6DOAXZCJHZW · pith_short_16: M6DOAXZCJHZWMSQ5 · pith_short_8: M6DOAXZC

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/M6DOAXZCJHZWMSQ574W2YSXPL5 \
  | 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: 6786e05f2249f3664a1dff2dac4aef5f4601eb0943245eea4df7286ed6bd6201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0612d54bd20de685321eb3a8903e89d2d671a4c192527f3a12212e8b74e8d335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-17T03:43:25Z",
    "title_canon_sha256": "8f7cb3d039d1d3afe6d38bc24141da672940008a8bfb1043a1988a6c3ace6219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18655",
    "kind": "arxiv",
    "version": 1
  }
}