Pith Number

pith:MKWRDSRN

pith:2017:MKWRDSRNYHWDUVW4DASMIG5XNU

not attested not anchored not stored refs pending

Perelman's $W$-functional on manifolds with conical singularities

Changliang Wang, Xianzhe Dai

arxiv:1711.08443 v1 · 2017-11-22 · 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{MKWRDSRNYHWDUVW4DASMIG5XNU}

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	2026-05-18T00:29:49.785678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ad11ca2dc1ec3a56dc1824c41bb76d3ec7bf1fbf263bc539c72f59d79e0b5c

Aliases

arxiv: 1711.08443 · arxiv_version: 1711.08443v1 · doi: 10.48550/arxiv.1711.08443 · pith_short_12: MKWRDSRNYHWD · pith_short_16: MKWRDSRNYHWDUVW4 · pith_short_8: MKWRDSRN

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/MKWRDSRNYHWDUVW4DASMIG5XNU \
  | 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: 62ad11ca2dc1ec3a56dc1824c41bb76d3ec7bf1fbf263bc539c72f59d79e0b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4cf4a6ce27402bf53b2429fa122011de1ffa2c9eb8069f0d32ecd85054ba1ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-22T18:40:26Z",
    "title_canon_sha256": "a61d43f120db0844c0a2ebfa3617972f3cc84b9b5d9157a068ab273e005c70fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08443",
    "kind": "arxiv",
    "version": 1
  }
}