Pith Number

pith:TH24VJIF

pith:2026:TH24VJIF6XZK7QUHDH6SFK2QFZ

not attested not anchored not stored refs pending

Lu's conjecture for minimal surfaces in codimension two

Fagui Li, Jianquan Ge, Yunheng Zhang

arxiv:2607.21336 v1 · 2026-07-23 · 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{TH24VJIF6XZK7QUHDH6SFK2QFZ}

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	2026-07-24T01:24:26.446759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f5caa505f5f2afc28719fd22ab502e571bfc242d3089253b5d7c6481dceb54

Aliases

arxiv: 2607.21336 · arxiv_version: 2607.21336v1 · doi: 10.48550/arxiv.2607.21336 · pith_short_12: TH24VJIF6XZK · pith_short_16: TH24VJIF6XZK7QUH · pith_short_8: TH24VJIF

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/TH24VJIF6XZK7QUHDH6SFK2QFZ \
  | 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: 99f5caa505f5f2afc28719fd22ab502e571bfc242d3089253b5d7c6481dceb54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93081ce769220b77bb8ed57107b01751bb6c24de9f02eeac6b893ccb200ac0f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-23T14:05:10Z",
    "title_canon_sha256": "07396daa8b9eb2860e571ddc6f9785c1895aa42495dac75c9f0bbcf6fa5d2425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21336",
    "kind": "arxiv",
    "version": 1
  }
}