Pith Number

pith:KTF727P7

pith:2010:KTF727P74FROGFLZCM5C4REIJA

not attested not anchored not stored refs pending

A compactness theorem for complete Ricci shrinkers

Reto M\"uller, Robert Haslhofer

arxiv:1005.3255 v3 · 2010-05-18 · 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{KTF727P74FROGFLZCM5C4REIJA}

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	2026-05-18T04:09:44.362977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54cbfd7dffe162e31579133a2e44884815484d5780d00b065fdb5907b75ab727

Aliases

arxiv: 1005.3255 · arxiv_version: 1005.3255v3 · doi: 10.48550/arxiv.1005.3255 · pith_short_12: KTF727P74FRO · pith_short_16: KTF727P74FROGFLZ · pith_short_8: KTF727P7

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/KTF727P74FROGFLZCM5C4REIJA \
  | 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: 54cbfd7dffe162e31579133a2e44884815484d5780d00b065fdb5907b75ab727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcef5b5233003d3ef94ef9bc5156b414495ebdc870db7cec9dc2f622e66ea79e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-18T17:09:47Z",
    "title_canon_sha256": "43fdcf63e135c4e6319c62f505bce988b51e77197b50588e317791f72b14d405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3255",
    "kind": "arxiv",
    "version": 3
  }
}