Pith Number

pith:FJMNG7CE

pith:2017:FJMNG7CEDNTDMKE3M2HYB63OEI

not attested not anchored not stored refs pending

Integral Ricci curvature bounds for possibly collapsed spaces with Ricci curvature bounded from below

Michael Smith

arxiv:1707.02031 v1 · 2017-07-07 · 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{FJMNG7CEDNTDMKE3M2HYB63OEI}

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	2026-05-18T00:40:45.425057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a58d37c441b6636289b668f80fb6e220d2217a16ed7548b237ce405bbf0777d

Aliases

arxiv: 1707.02031 · arxiv_version: 1707.02031v1 · doi: 10.48550/arxiv.1707.02031 · pith_short_12: FJMNG7CEDNTD · pith_short_16: FJMNG7CEDNTDMKE3 · pith_short_8: FJMNG7CE

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/FJMNG7CEDNTDMKE3M2HYB63OEI \
  | 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: 2a58d37c441b6636289b668f80fb6e220d2217a16ed7548b237ce405bbf0777d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4228d9d815f88dccafa7c5d75025383bc025f6ad2e4b2f3290b414c9d85ab58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-07T04:09:08Z",
    "title_canon_sha256": "23f22081e71778ad6c3ffc246fcae3bf8d66197eb8168d506465c859eebd5faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02031",
    "kind": "arxiv",
    "version": 1
  }
}