Pith Number

pith:554RJYIP

pith:2010:554RJYIPZ2VAPS4OHY76OFUAO6

not attested not anchored not stored refs pending

Compactifications of Complete Riemannian manifolds and Their Applications

Xiaodong Wang

arxiv:1012.3131 v1 · 2010-12-14 · 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{554RJYIPZ2VAPS4OHY76OFUAO6}

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	2026-05-18T04:33:18.533270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7914e10fceaa07cb8e3e3fe7168077a1121c58c4fc2832267c1be283832e5a

Aliases

arxiv: 1012.3131 · arxiv_version: 1012.3131v1 · doi: 10.48550/arxiv.1012.3131 · pith_short_12: 554RJYIPZ2VA · pith_short_16: 554RJYIPZ2VAPS4O · pith_short_8: 554RJYIP

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/554RJYIPZ2VAPS4OHY76OFUAO6 \
  | 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: ef7914e10fceaa07cb8e3e3fe7168077a1121c58c4fc2832267c1be283832e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910dc439061710240fad83fcd5c73fd150870e1110519df3f539a46928299555",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-14T18:53:28Z",
    "title_canon_sha256": "1b94450dd35ee6ae0f57148727d91bb574e3dd4e79fc17f0fc709dc6484a3a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3131",
    "kind": "arxiv",
    "version": 1
  }
}