Pith Number

pith:XZFGQG6B

pith:2026:XZFGQG6BOQLCYLBLW4SPZVOLT7

not attested not anchored not stored refs pending

Conjugate radius of open manifolds

Jian Ge, Shimeng Zhang

arxiv:2605.28379 v1 · 2026-05-27 · 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{XZFGQG6BOQLCYLBLW4SPZVOLT7}

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	2026-05-28T01:05:16.542437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4a681bc174162c2c2bb724fcd5cb9feecc0904b264a43df4f6d104d5705140

Aliases

arxiv: 2605.28379 · arxiv_version: 2605.28379v1 · doi: 10.48550/arxiv.2605.28379 · pith_short_12: XZFGQG6BOQLC · pith_short_16: XZFGQG6BOQLCYLBL · pith_short_8: XZFGQG6B

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/XZFGQG6BOQLCYLBLW4SPZVOLT7 \
  | 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: be4a681bc174162c2c2bb724fcd5cb9feecc0904b264a43df4f6d104d5705140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c2dd9dfe4d3bb421279458a1a8142c86162d5e08974763504f11ee76bfb0ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-27T12:18:29Z",
    "title_canon_sha256": "380b7f59e44e6ad3bc8e99b3d1c98ffb54fabb296532a6b269f5669418de2ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28379",
    "kind": "arxiv",
    "version": 1
  }
}