Pith Number

pith:667L26CG

pith:2015:667L26CGXNXUGES4TANXLYXCN2

not attested not anchored not stored refs pending

Harnack estimate for mean curvature flow on the sphere

Mohammad N. Ivaki, Paul Bryan

arxiv:1508.02821 v4 · 2015-08-12 · 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{667L26CGXNXUGES4TANXLYXCN2}

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	2026-05-17T23:44:00.322135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7bebd7846bb6f43125c981b75e2e26eaa69e525e4cf44413ff952f6878495f8

Aliases

arxiv: 1508.02821 · arxiv_version: 1508.02821v4 · doi: 10.48550/arxiv.1508.02821 · pith_short_12: 667L26CGXNXU · pith_short_16: 667L26CGXNXUGES4 · pith_short_8: 667L26CG

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/667L26CGXNXUGES4TANXLYXCN2 \
  | 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: f7bebd7846bb6f43125c981b75e2e26eaa69e525e4cf44413ff952f6878495f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cffaea5bbfae0d4f99483c3f66f63f2045b9d7a479e9413c5a4815a7e375151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-12T06:25:38Z",
    "title_canon_sha256": "5808ba8a4b05f87cd57083b2093b7300a7c0860529f70a350de446d41cab8c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02821",
    "kind": "arxiv",
    "version": 4
  }
}