Pith Number

pith:5X4FWZ45

pith:2013:5X4FWZ45KOV3XOOCV5ZDI2XQNK

not attested not anchored not stored refs pending

Optimal constants of $L^2$ inequalities for closed nearly umbilical hypersurfaces in space forms

Areli V\'azquez Ju\'arez, Xu Cheng

arxiv:1302.3392 v1 · 2013-02-14 · 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{5X4FWZ45KOV3XOOCV5ZDI2XQNK}

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	2026-05-18T03:33:39.065748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf85b679d53abbbb9c2af72346af06a99c8a38d500c1c4c37857b1d7ba9b46d

Aliases

arxiv: 1302.3392 · arxiv_version: 1302.3392v1 · doi: 10.48550/arxiv.1302.3392 · pith_short_12: 5X4FWZ45KOV3 · pith_short_16: 5X4FWZ45KOV3XOOC · pith_short_8: 5X4FWZ45

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/5X4FWZ45KOV3XOOCV5ZDI2XQNK \
  | 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: edf85b679d53abbbb9c2af72346af06a99c8a38d500c1c4c37857b1d7ba9b46d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50f781f36f91c7e60bb1ce6b609c4f089280774c90947edb00596fb864755b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-14T12:57:24Z",
    "title_canon_sha256": "b271e4553fc392f78b1a16f09086fd8ca28823a7e59ce0b5aadcde8f312ef123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3392",
    "kind": "arxiv",
    "version": 1
  }
}