Pith Number

pith:DXZ63A2K

pith:2018:DXZ63A2KGGPI33NZESRMVPJHJB

not attested not anchored not stored refs pending

Eigenvalue Estimate of the Dirac operator and Rigidity of Poincare-Einstein Metrics

Daguang Chen, Fang Wang, Xiao Zhang

arxiv:1808.02816 v2 · 2018-08-08 · 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{DXZ63A2KGGPI33NZESRMVPJHJB}

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	2026-05-17T23:59:22.433138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df3ed834a319e8dedb924a2cabd274862d7f3d7897df939bfa6ddfc00353888

Aliases

arxiv: 1808.02816 · arxiv_version: 1808.02816v2 · doi: 10.48550/arxiv.1808.02816 · pith_short_12: DXZ63A2KGGPI · pith_short_16: DXZ63A2KGGPI33NZ · pith_short_8: DXZ63A2K

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/DXZ63A2KGGPI33NZESRMVPJHJB \
  | 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: 1df3ed834a319e8dedb924a2cabd274862d7f3d7897df939bfa6ddfc00353888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d26bd301f29c8da6f2d8fa8b0ae3f2047f3384e7a3794fee911fe745e8f3d18",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-08T15:17:28Z",
    "title_canon_sha256": "fec5e2fa6a510b81a1682a3a3c37850f362054a6ee8e078191be7e1fd60b320f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02816",
    "kind": "arxiv",
    "version": 2
  }
}