Pith Number

pith:XVFKRUQQ

pith:2021:XVFKRUQQ6UE7RYQRMLUFLCA66S

not attested not anchored not stored refs pending

Geometric inequalities for free boundary hypersurfaces in a ball

Haizhong Li, Yimin Chen, Yingxiang Hu

arxiv:2110.12169 v1 · 2021-10-23 · 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{XVFKRUQQ6UE7RYQRMLUFLCA66S}

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	2026-07-05T03:25:01.025303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4aa8d210f509f8e21162e855881ef4a2c87f65d151eb8c8bb9b15fbfc24755

Aliases

arxiv: 2110.12169 · arxiv_version: 2110.12169v1 · doi: 10.48550/arxiv.2110.12169 · pith_short_12: XVFKRUQQ6UE7 · pith_short_16: XVFKRUQQ6UE7RYQR · pith_short_8: XVFKRUQQ

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/XVFKRUQQ6UE7RYQRMLUFLCA66S \
  | 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: bd4aa8d210f509f8e21162e855881ef4a2c87f65d151eb8c8bb9b15fbfc24755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2188045d7ac57e4270765d1549bed406464d76987549f026b5883229d6f227c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-10-23T08:39:23Z",
    "title_canon_sha256": "aa69cb322476a646ea186a7194c83be2797d21ff7c2acb6d6a66f3bc371ef918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12169",
    "kind": "arxiv",
    "version": 1
  }
}