Pith Number

pith:3MMCF6CC

pith:2015:3MMCF6CCZQDXFCSX7LFVXXOBU6

not attested not anchored not stored refs pending

An Optimal Convergence Theorem for Mean Curvature Flow of Arbitrary Codimension in Hyperbolic Spaces

Hongwei Xu, Li Lei

arxiv:1503.06747 v1 · 2015-03-23 · 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{3MMCF6CCZQDXFCSX7LFVXXOBU6}

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	2026-05-18T02:20:37.495742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1822f842cc07728a57facb5bddc1a781bd592278f82da2970f27e54625d716

Aliases

arxiv: 1503.06747 · arxiv_version: 1503.06747v1 · doi: 10.48550/arxiv.1503.06747 · pith_short_12: 3MMCF6CCZQDX · pith_short_16: 3MMCF6CCZQDXFCSX · pith_short_8: 3MMCF6CC

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/3MMCF6CCZQDXFCSX7LFVXXOBU6 \
  | 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: db1822f842cc07728a57facb5bddc1a781bd592278f82da2970f27e54625d716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2dd422208735034beddca1171bf9c7e71b253d9251c49721ca26ac088ca71ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-23T17:53:56Z",
    "title_canon_sha256": "36968643791f8bbf8714455d08bb842c97a69f3d6e94f2015657f1981549fbc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06747",
    "kind": "arxiv",
    "version": 1
  }
}