Pith Number

pith:6CTC7YQ3

pith:2026:6CTC7YQ35DCVIVAGPUUBBEED6E

not attested not anchored not stored refs pending

On the upper area bound for minimal graphs in the unit ball

Qing Cui

arxiv:2606.02647 v1 · 2026-05-31 · 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{6CTC7YQ35DCVIVAGPUUBBEED6E}

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	2026-06-03T00:05:05.562063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a62fe21be8c55454067d28109083f10483c94c845bb9fc868f482a2d72a0bb

Aliases

arxiv: 2606.02647 · arxiv_version: 2606.02647v1 · doi: 10.48550/arxiv.2606.02647 · pith_short_12: 6CTC7YQ35DCV · pith_short_16: 6CTC7YQ35DCVIVAG · pith_short_8: 6CTC7YQ3

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/6CTC7YQ35DCVIVAGPUUBBEED6E \
  | 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: f0a62fe21be8c55454067d28109083f10483c94c845bb9fc868f482a2d72a0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2739c2ac243e0f6fc2d481f379f2d4cdd4cbebeb20b4d926406893df44b2c47f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-31T16:59:19Z",
    "title_canon_sha256": "536dacf2ce1086094a2979684ab663c2f03a1ccd0ca978ef0a846084a2f5b5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02647",
    "kind": "arxiv",
    "version": 1
  }
}