Pith Number

pith:GMCFZQW7

pith:2013:GMCFZQW7GUYSCB7M6Z7EWHFO6Y

not attested not anchored not stored refs pending

On Brendle's estimate for the inscribed radius under mean curvature flow

Bruce Kleiner, Robert Haslhofer

arxiv:1309.3231 v1 · 2013-09-12 · 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{GMCFZQW7GUYSCB7M6Z7EWHFO6Y}

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	2026-05-18T03:13:32.502753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33045cc2df35312107ecf67e4b1caef61a8fce1d060a76b5fdc814081e7d2c02

Aliases

arxiv: 1309.3231 · arxiv_version: 1309.3231v1 · doi: 10.48550/arxiv.1309.3231 · pith_short_12: GMCFZQW7GUYS · pith_short_16: GMCFZQW7GUYSCB7M · pith_short_8: GMCFZQW7

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/GMCFZQW7GUYSCB7M6Z7EWHFO6Y \
  | 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: 33045cc2df35312107ecf67e4b1caef61a8fce1d060a76b5fdc814081e7d2c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c964aab5c46d310565dc587c60595a1bf49e10f6a341c36fd61b6f3a3b2204",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-12T18:15:12Z",
    "title_canon_sha256": "81c7d4191b6d76bacae8a38819a001b0182bc48cd41f5bace92b2055b479a49f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3231",
    "kind": "arxiv",
    "version": 1
  }
}