Pith Number

pith:XH3VGM5I

pith:2014:XH3VGM5I7DVQ2WNCATSM4KKI53

not attested not anchored not stored refs pending

$(\alpha_1,\alpha_2)$-Spaces and Clifford-Wolf Homogeneity

Ming Xu, ShaoQiang Deng

arxiv:1401.0472 v1 · 2014-01-02 · 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{XH3VGM5I7DVQ2WNCATSM4KKI53}

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	2026-05-18T03:03:23.134802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f75333a8f8eb0d59a204e4ce2948eef664b9cdd23b327e891c2b6defb76ac1

Aliases

arxiv: 1401.0472 · arxiv_version: 1401.0472v1 · doi: 10.48550/arxiv.1401.0472 · pith_short_12: XH3VGM5I7DVQ · pith_short_16: XH3VGM5I7DVQ2WNC · pith_short_8: XH3VGM5I

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/XH3VGM5I7DVQ2WNCATSM4KKI53 \
  | 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: b9f75333a8f8eb0d59a204e4ce2948eef664b9cdd23b327e891c2b6defb76ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b95a65dd48d5283ed32ddcdef8cfeebe904302d94d93d98a2b650b8393aee99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-02T17:07:11Z",
    "title_canon_sha256": "d5b46653856db597a6147f33ad6cdb7f8a2c81b074df5d9d52e22d2b076a3787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0472",
    "kind": "arxiv",
    "version": 1
  }
}