Pith Number

pith:QZVSXQM6

pith:2026:QZVSXQM6NSTMOJKBPIJ7QLEVSO

not attested not anchored not stored refs pending

Regularity of branched stable minimal immersed hypersurfaces

Gaoming Wang, Xuwen Zhang

arxiv:2607.29632 v1 · 2026-07-31 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZVSXQM6NSTMOJKBPIJ7QLEVSO}

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	2026-08-03T01:41:07.843669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866b2bc19e6ca6c725417a13f82c959398b3da37c9527659d4117731099dc5a5

Aliases

arxiv: 2607.29632 · arxiv_version: 2607.29632v1 · doi: 10.48550/arxiv.2607.29632 · pith_short_12: QZVSXQM6NSTM · pith_short_16: QZVSXQM6NSTMOJKB · pith_short_8: QZVSXQM6

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/QZVSXQM6NSTMOJKBPIJ7QLEVSO \
  | 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: 866b2bc19e6ca6c725417a13f82c959398b3da37c9527659d4117731099dc5a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf690d375d1e2722491eb872e17b65efeadf2fb91186931da08c98712c83f7b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-31T17:09:37Z",
    "title_canon_sha256": "cdb9476de47db9910951e39600d49c2f30b080d1d3c9add55a2571bd1164d726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29632",
    "kind": "arxiv",
    "version": 1
  }
}