Pith Number

pith:KDVKDBRT

pith:2026:KDVKDBRTTIGIFEWGC5VB4YWPWU

not attested not anchored not stored refs pending

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres

Fagui Li, Jianquan Ge, Yunheng Zhang

arxiv:2607.10733 v1 · 2026-07-12 · 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{KDVKDBRTTIGIFEWGC5VB4YWPWU}

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	2026-07-14T01:21:37.315699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50eaa186339a0c8292c6176a1e62cfb52ecca7145722a162da88e062545b01b6

Aliases

arxiv: 2607.10733 · arxiv_version: 2607.10733v1 · doi: 10.48550/arxiv.2607.10733 · pith_short_12: KDVKDBRTTIGI · pith_short_16: KDVKDBRTTIGIFEWG · pith_short_8: KDVKDBRT

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/KDVKDBRTTIGIFEWGC5VB4YWPWU \
  | 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: 50eaa186339a0c8292c6176a1e62cfb52ecca7145722a162da88e062545b01b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37d2a513308f6e41c7d2b627b75a38416a003e4217ae1fbf3de3114e5a7c7d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-12T12:34:23Z",
    "title_canon_sha256": "576293257ae10583da7288161d5b1d9598e6d810d4a87128bda72f706f9ac2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10733",
    "kind": "arxiv",
    "version": 1
  }
}