Pith Number

pith:3D5V7YMF

pith:2018:3D5V7YMFI2T34UNN3T6S5XP5K5

not attested not anchored not stored refs pending

Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds

Bingqing Ma, Guangyue Huang, Xingxiao Li, Yu Chen

arxiv:1802.04454 v2 · 2018-02-13 · 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{3D5V7YMFI2T34UNN3T6S5XP5K5}

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	2026-05-18T00:17:23.745690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8fb5fe18546a7be51addcfd2eddfd5743c90a32659973a8cef898608cb42314

Aliases

arxiv: 1802.04454 · arxiv_version: 1802.04454v2 · doi: 10.48550/arxiv.1802.04454 · pith_short_12: 3D5V7YMFI2T3 · pith_short_16: 3D5V7YMFI2T34UNN · pith_short_8: 3D5V7YMF

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/3D5V7YMFI2T34UNN3T6S5XP5K5 \
  | 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: d8fb5fe18546a7be51addcfd2eddfd5743c90a32659973a8cef898608cb42314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5173080191bd4adae9e7ff1f8ccded8c29f806e213567fd23ecbe634bf9c33ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-13T03:31:08Z",
    "title_canon_sha256": "83c50bfd6b3aa21b078321f22a0667d2617d0ddeff29302982b62014fe791867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04454",
    "kind": "arxiv",
    "version": 2
  }
}