Pith Number

pith:Y5QXNKZP

pith:2014:Y5QXNKZP4WCDYD7XWGIYL74T4Y

not attested not anchored not stored refs pending

Open manifolds with asymptotically nonnegative Ricci curvature and large volume growth

Yuntao Zhang

arxiv:1408.3882 v1 · 2014-08-18 · 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{Y5QXNKZP4WCDYD7XWGIYL74T4Y}

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	2026-05-18T02:45:03.105037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76176ab2fe5843c0ff7b19185ff93e6395cf0da6e5aa2d8207a5d573ce3c2a5

Aliases

arxiv: 1408.3882 · arxiv_version: 1408.3882v1 · doi: 10.48550/arxiv.1408.3882 · pith_short_12: Y5QXNKZP4WCD · pith_short_16: Y5QXNKZP4WCDYD7X · pith_short_8: Y5QXNKZP

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/Y5QXNKZP4WCDYD7XWGIYL74T4Y \
  | 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: c76176ab2fe5843c0ff7b19185ff93e6395cf0da6e5aa2d8207a5d573ce3c2a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7007f17badffbc20af53a4748245245260f187c36fdd945b3baae7adbeea436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-18T01:36:13Z",
    "title_canon_sha256": "c269b9257cff98bb59b1ff746a4e72707f0a09bb91daf60b6999d2d60487783b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3882",
    "kind": "arxiv",
    "version": 1
  }
}