Pith Number

pith:ZZX6K4G3

pith:2018:ZZX6K4G3EQMZ6KAUFSOE444GJZ

not attested not anchored not stored refs pending

Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

K. Choi, S. Brendle

arxiv:1804.00018 v3 · 2018-03-30 · 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{ZZX6K4G3EQMZ6KAUFSOE444GJZ}

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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.

Cited by

2 papers in Pith

Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow

Convex ancient solutions to mean curvature flow

Receipt and verification

First computed	2026-07-05T06:31:50.593848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6fe570db24199f28142c9c4e73864e6f349b484a6dc6af8347286bbf823351

Aliases

arxiv: 1804.00018 · arxiv_version: 1804.00018v3 · doi: 10.48550/arxiv.1804.00018 · pith_short_12: ZZX6K4G3EQMZ · pith_short_16: ZZX6K4G3EQMZ6KAU · pith_short_8: ZZX6K4G3

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/ZZX6K4G3EQMZ6KAUFSOE444GJZ \
  | 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: ce6fe570db24199f28142c9c4e73864e6f349b484a6dc6af8347286bbf823351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f49085c9e37c8fcf6f6b755827fd716809658418ce3364dc6cd9fb8abbc3746",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-30T18:11:49Z",
    "title_canon_sha256": "fa5922fc34e25bfc8027a1c6e8a4fb4a273870419daa38b5f7e8f1d3ae17a170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00018",
    "kind": "arxiv",
    "version": 3
  }
}