Pith Number

pith:MJHBXPPX

pith:2020:MJHBXPPXHKTH5QW4EYZFYL3FQL

not attested not anchored not stored refs pending

Restriction estimates for certain surfaces of finite type in $\mathbb{R}^3$

Changxing Miao, Jiqiang Zheng, Zhuoran Li

arxiv:2003.00408 v2 · 2020-03-01 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJHBXPPXHKTH5QW4EYZFYL3FQL}

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	2026-07-05T03:07:42.700504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624e1bbdf73aa67ec2dc26325c2f6582e4f0117a2dae8db985229083509d0691

Aliases

arxiv: 2003.00408 · arxiv_version: 2003.00408v2 · doi: 10.48550/arxiv.2003.00408 · pith_short_12: MJHBXPPXHKTH · pith_short_16: MJHBXPPXHKTH5QW4 · pith_short_8: MJHBXPPX

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/MJHBXPPXHKTH5QW4EYZFYL3FQL \
  | 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: 624e1bbdf73aa67ec2dc26325c2f6582e4f0117a2dae8db985229083509d0691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c65155e96fbb84a8cb2d3285da30dcd917cef359ab911250a85fbf1caf02d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-01T05:29:08Z",
    "title_canon_sha256": "8164c6f185ac8c672262e53a8cbcb29acea58fcc5d8c392bf8a2e5cde3640d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.00408",
    "kind": "arxiv",
    "version": 2
  }
}