Pith Number

pith:WD5CL4CV

pith:2016:WD5CL4CVH4I4E7ZA2EXCQRZS6T

not attested not anchored not stored refs pending

Four-dimensional Einstein manifolds with sectional curvature bounded from above

Zhuhong Zhang

arxiv:1606.01157 v1 · 2016-06-03 · 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{WD5CL4CVH4I4E7ZA2EXCQRZS6T}

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	2026-05-18T01:12:59.204408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fa25f0553f11c27f20d12e284732f4de6f33b4f14757b1828c0029ca52bfc2

Aliases

arxiv: 1606.01157 · arxiv_version: 1606.01157v1 · doi: 10.48550/arxiv.1606.01157 · pith_short_12: WD5CL4CVH4I4 · pith_short_16: WD5CL4CVH4I4E7ZA · pith_short_8: WD5CL4CV

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/WD5CL4CVH4I4E7ZA2EXCQRZS6T \
  | 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: b0fa25f0553f11c27f20d12e284732f4de6f33b4f14757b1828c0029ca52bfc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5609ee09cf2f5e8cf649cd4d74428f41916d2fc33c6f7c11b4f6b4cc6352682",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-03T15:55:55Z",
    "title_canon_sha256": "7646ad2593ffce2cefded6d78393465974b9af0154720f246acfcb98a2b3959f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01157",
    "kind": "arxiv",
    "version": 1
  }
}