Pith Number

pith:CKZCYBVI

pith:2026:CKZCYBVII4BZ6KHSKSQ6DGS7DF

not attested not anchored not stored refs pending

Contraction Maps Generated by Inverse Mean Curvature Flow

Bang-Xian Han, Zhuo-Nan Zhu

arxiv:2607.27711 v1 · 2026-07-30 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKZCYBVII4BZ6KHSKSQ6DGS7DF}

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	2026-07-31T01:29:59.313652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

12b22c06a847039f28f254a1e19a5f1941e10631edbe816e778fc04dbefe1d6f

Aliases

arxiv: 2607.27711 · arxiv_version: 2607.27711v1 · doi: 10.48550/arxiv.2607.27711 · pith_short_12: CKZCYBVII4BZ · pith_short_16: CKZCYBVII4BZ6KHS · pith_short_8: CKZCYBVI

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/CKZCYBVII4BZ6KHSKSQ6DGS7DF \
  | 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: 12b22c06a847039f28f254a1e19a5f1941e10631edbe816e778fc04dbefe1d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee2a127a233e4eb8924f1899d2e610a81250c7d488df480e073ebe7d47e04fd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-30T05:45:40Z",
    "title_canon_sha256": "157b0412ddf32196e8ee120b99a98235dd0aabcdfbebe7699ab5a417ff9215da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27711",
    "kind": "arxiv",
    "version": 1
  }
}