Pith Number

pith:KRQU6GLZ

pith:2026:KRQU6GLZSATBZPYVKFNHGUNNHK

not attested not anchored not stored refs pending

Infinity-harmonic functions and inverse mean curvature flow clusters

Kai Xu

arxiv:2607.06698 v1 · 2026-07-07 · math.AP · 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{KRQU6GLZSATBZPYVKFNHGUNNHK}

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	2026-07-09T00:19:23.770834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54614f197990261cbf15515a7351ad3aaa9700db8660a1e4ee2f9863024eb595

Aliases

arxiv: 2607.06698 · arxiv_version: 2607.06698v1 · doi: 10.48550/arxiv.2607.06698 · pith_short_12: KRQU6GLZSATB · pith_short_16: KRQU6GLZSATBZPYV · pith_short_8: KRQU6GLZ

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/KRQU6GLZSATBZPYVKFNHGUNNHK \
  | 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: 54614f197990261cbf15515a7351ad3aaa9700db8660a1e4ee2f9863024eb595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f250854d8d8d1024b3845d72ba559dbaf2b44c533e7e2db8e27a7ae331d531b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-07T18:15:29Z",
    "title_canon_sha256": "25c3b351f26deea208eb92d7904bc72b1159d78dac9d7dfb86f026de34e2eb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06698",
    "kind": "arxiv",
    "version": 1
  }
}