Pith Number

pith:6BOKYL2W

pith:2018:6BOKYL2W3CRHYVPS4ZS6DC7O24

not attested not anchored not stored refs pending

On Riemann curvature of singular square metrics

Changtao Yu

arxiv:1807.08224 v1 · 2018-07-22 · 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{6BOKYL2W3CRHYVPS4ZS6DC7O24}

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	2026-05-18T00:10:08.857975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f05cac2f56d8a27c55f2e665e18beed736c0aff76fdaea9e20c19dc0d0a66fac

Aliases

arxiv: 1807.08224 · arxiv_version: 1807.08224v1 · doi: 10.48550/arxiv.1807.08224 · pith_short_12: 6BOKYL2W3CRH · pith_short_16: 6BOKYL2W3CRHYVPS · pith_short_8: 6BOKYL2W

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/6BOKYL2W3CRHYVPS4ZS6DC7O24 \
  | 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: f05cac2f56d8a27c55f2e665e18beed736c0aff76fdaea9e20c19dc0d0a66fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e36e0d6ffc72a8b7dc37da7dd154725faec57a4421024a582ecae7f25a8baac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-22T01:44:47Z",
    "title_canon_sha256": "9c0fb81cbd7760a29e7195fe94430bbb5b0a14cf2a0de9c74ad4274ca8004ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08224",
    "kind": "arxiv",
    "version": 1
  }
}