Pith Number

pith:XO5CWAPY

pith:2024:XO5CWAPY2WIZK72OJ6JCZA6MQ3

not attested not anchored not stored refs pending

On the non-collapsed RCD spaces with local bounded covering geometry

Jikang Wang

arxiv:2412.06131 v1 · 2024-12-09 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XO5CWAPY2WIZK72OJ6JCZA6MQ3}

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	2026-07-05T09:46:15.924766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbba2b01f8d591957f4e4f922c83cc86c1abde96a7b4f9ef4cc305f36ddfcd35

Aliases

arxiv: 2412.06131 · arxiv_version: 2412.06131v1 · doi: 10.48550/arxiv.2412.06131 · pith_short_12: XO5CWAPY2WIZ · pith_short_16: XO5CWAPY2WIZK72O · pith_short_8: XO5CWAPY

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/XO5CWAPY2WIZK72OJ6JCZA6MQ3 \
  | 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: bbba2b01f8d591957f4e4f922c83cc86c1abde96a7b4f9ef4cc305f36ddfcd35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e0b67bea0ff9db8608b4102719361bb2c5e3afd08ab8f22a65f612c58305fc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-09T01:21:07Z",
    "title_canon_sha256": "ed13236d63a553805120f38390dfd4bb98e8d30de156bb7c8110709ec887a3d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06131",
    "kind": "arxiv",
    "version": 1
  }
}