Pith. sign in
Pith Number

pith:DOG5DU2P

pith:2026:DOG5DU2PEMX4LOMWJCLWQK5RQC
not attested not anchored not stored refs pending

Dynamical dimension and shift embeddability without the marker property

Ruxi Shi

arxiv:2607.27880 v1 · 2026-07-30 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DOG5DU2PEMX4LOMWJCLWQK5RQC}

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 2026-07-31T01:34:32.856901Z
Builder pith-number-builder-2026-05-17-v1
Signature unsigned_v0
Schema pith-number/v1.0

Canonical hash

1b8dd1d34f232fc5b9964897682bb18091508145806f9219e97bf8f8b0d74525

Aliases

arxiv: 2607.27880 · arxiv_version: 2607.27880v1 · doi: 10.48550/arxiv.2607.27880 · pith_short_12: DOG5DU2PEMX4 · pith_short_16: DOG5DU2PEMX4LOMW · pith_short_8: DOG5DU2P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DOG5DU2PEMX4LOMWJCLWQK5RQC \
  | 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: 1b8dd1d34f232fc5b9964897682bb18091508145806f9219e97bf8f8b0d74525
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f3fd1a7df2189fb2131ba0f43c2b352fad33ed6ec1f49c4d6af6c0bf195e8b57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-30T08:55:36Z",
    "title_canon_sha256": "1ed0ae1da04804aecf53722e5b7e963ebfa80e489ebbf50eaa17085dcb383828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27880",
    "kind": "arxiv",
    "version": 1
  }
}