Pith Number

pith:F7Z5WYJG

pith:2026:F7Z5WYJGQM3SKRRIZX4VUCHQEE

not attested not anchored not stored refs pending

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls

Lina Chen

arxiv:2607.06277 v1 · 2026-07-07 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7Z5WYJGQM3SKRRIZX4VUCHQEE}

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	2026-07-08T01:19:19.800883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff3db61268337254628cdf95a08f0210f9076d932fbb25e244ea64d1f294a3a

Aliases

arxiv: 2607.06277 · arxiv_version: 2607.06277v1 · doi: 10.48550/arxiv.2607.06277 · pith_short_12: F7Z5WYJGQM3S · pith_short_16: F7Z5WYJGQM3SKRRI · pith_short_8: F7Z5WYJG

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/F7Z5WYJGQM3SKRRIZX4VUCHQEE \
  | 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: 2ff3db61268337254628cdf95a08f0210f9076d932fbb25e244ea64d1f294a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec85c5f8f8ccdfc11bbe841f29d4e1e11cbeb93a0bd0a488b3eab79ec4a1cca3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-07T13:43:26Z",
    "title_canon_sha256": "a3004ca2d9ce0e43f16513cdddaf0411d9ea74a28612b54435b8467e5d9a842a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06277",
    "kind": "arxiv",
    "version": 1
  }
}