Pith Number

pith:EPXHXKZM

pith:2011:EPXHXKZMBNGFEE7JZRHBZWZL52

not attested not anchored not stored refs pending

Some elementary consequences of Perelman's canonical neighborhood theorem

Bennett Chow, Peng Lu

arxiv:1103.4165 v1 · 2011-03-21 · 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{EPXHXKZMBNGFEE7JZRHBZWZL52}

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	2026-05-18T04:26:21.433019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23ee7bab2c0b4c5213e9cc4e1cdb2bee963a13dd06362f7513be4e8c2faee26b

Aliases

arxiv: 1103.4165 · arxiv_version: 1103.4165v1 · doi: 10.48550/arxiv.1103.4165 · pith_short_12: EPXHXKZMBNGF · pith_short_16: EPXHXKZMBNGFEE7J · pith_short_8: EPXHXKZM

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/EPXHXKZMBNGFEE7JZRHBZWZL52 \
  | 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: 23ee7bab2c0b4c5213e9cc4e1cdb2bee963a13dd06362f7513be4e8c2faee26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb34434f384e26b84f511bf8f3e2ce60159ea9bda9ad072d864b960b22016db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-21T21:56:45Z",
    "title_canon_sha256": "21cf8fd80b94646e791785ca314dd337d15170f4bf5349ae2b3e1276fd90bd48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4165",
    "kind": "arxiv",
    "version": 1
  }
}