Pith Number

pith:C5Q67HVI

pith:2017:C5Q67HVIAMOLBY4VSRIEFNRQOR

not attested not anchored not stored refs pending

Myers' type theorem with the Bakry-\'Emery Ricci tensor

Jia-Yong Wu

arxiv:1706.07897 v2 · 2017-06-24 · 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{C5Q67HVIAMOLBY4VSRIEFNRQOR}

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	2026-05-18T00:16:03.143890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1761ef9ea8031cb0e395945042b630747e8b67a0fa9f0707d7863e4a4b430a36

Aliases

arxiv: 1706.07897 · arxiv_version: 1706.07897v2 · doi: 10.48550/arxiv.1706.07897 · pith_short_12: C5Q67HVIAMOL · pith_short_16: C5Q67HVIAMOLBY4V · pith_short_8: C5Q67HVI

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/C5Q67HVIAMOLBY4VSRIEFNRQOR \
  | 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: 1761ef9ea8031cb0e395945042b630747e8b67a0fa9f0707d7863e4a4b430a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079a275f8320d36a9c351ce83647023cd63658fbf0d0d88f5de1bd03cff79e6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-24T02:13:06Z",
    "title_canon_sha256": "b367c15b7f524d10d7811b5bad68804e9060173bd4e8b123a2c97e3ebe3d6178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07897",
    "kind": "arxiv",
    "version": 2
  }
}