Pith Number

pith:P6SGOAQD

pith:2026:P6SGOAQDGXFBFP6QYOF6IOTIBG

not attested not anchored not stored refs pending

On Mean Convex Regions

Haotian Xue

arxiv:2605.19679 v1 · 2026-05-19 · 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{P6SGOAQDGXFBFP6QYOF6IOTIBG}

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	2026-05-20T01:05:57.493792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa467020335ca12bfd0c38be43a6809b73ffeb2d52c06ce2f94ec52e1372c65

Aliases

arxiv: 2605.19679 · arxiv_version: 2605.19679v1 · doi: 10.48550/arxiv.2605.19679 · pith_short_12: P6SGOAQDGXFB · pith_short_16: P6SGOAQDGXFBFP6Q · pith_short_8: P6SGOAQD

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/P6SGOAQDGXFBFP6QYOF6IOTIBG \
  | 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: 7fa467020335ca12bfd0c38be43a6809b73ffeb2d52c06ce2f94ec52e1372c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ff659ea9f3940c6e4af928b2375f678c806f101ab6147a6a2c1e360c5a1761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-19T11:10:27Z",
    "title_canon_sha256": "aefc6c2bd0301713645fb65e21e42e9b5a5a29f7c5c805c164be2523bab4e013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19679",
    "kind": "arxiv",
    "version": 1
  }
}