Pith Number

pith:TIPCDWOH

pith:2025:TIPCDWOH4D34QNX2FQXKIFNSAO

not attested not anchored not stored refs pending

Gromov-Hausdorff Limits of Aspherical Manifolds

Xiaochun Rong

arxiv:2503.23107 v2 · 2025-03-29 · 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{TIPCDWOH4D34QNX2FQXKIFNSAO}

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.

Cited by

1 paper in Pith

Torus covers with controlled volume and diameter

Receipt and verification

First computed	2026-07-05T10:49:52.707043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1e21d9c7e0f7c836fa2c2ea415b2038664eedc4b349ff9f769e0dba1e5a7df

Aliases

arxiv: 2503.23107 · arxiv_version: 2503.23107v2 · doi: 10.48550/arxiv.2503.23107 · pith_short_12: TIPCDWOH4D34 · pith_short_16: TIPCDWOH4D34QNX2 · pith_short_8: TIPCDWOH

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/TIPCDWOH4D34QNX2FQXKIFNSAO \
  | 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: 9a1e21d9c7e0f7c836fa2c2ea415b2038664eedc4b349ff9f769e0dba1e5a7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be30b09406ce1e280afa362984a67d8da5ba23e43f25160c04c79b2dbef29db1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-03-29T14:58:37Z",
    "title_canon_sha256": "f9a5c449498dd500a6043066327db8fe041661d8a8be42d19a8eadb3d6a12620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23107",
    "kind": "arxiv",
    "version": 2
  }
}