Pith Number

pith:7YHBEFHH

pith:2015:7YHBEFHHVJFMCW5ID6LVLQEFAV

not attested not anchored not stored refs pending

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich

arxiv:1510.07281 v3 · 2015-10-25 · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YHBEFHHVJFMCW5ID6LVLQEFAV}

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	2026-05-18T01:14:52.840838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0e1214e7aa4ac15ba81f9755c08505787517891d98623f747717eec4e0467f

Aliases

arxiv: 1510.07281 · arxiv_version: 1510.07281v3 · doi: 10.48550/arxiv.1510.07281 · pith_short_12: 7YHBEFHHVJFM · pith_short_16: 7YHBEFHHVJFMCW5I · pith_short_8: 7YHBEFHH

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/7YHBEFHHVJFMCW5ID6LVLQEFAV \
  | 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: fe0e1214e7aa4ac15ba81f9755c08505787517891d98623f747717eec4e0467f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dba5d6d8e48e4d275d9760b59735224730925cabe73883fc33b992a5f336213",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-25T18:37:30Z",
    "title_canon_sha256": "f622dd3cf126c9145ac203cfce6f0360d2c1794c233e0ffa2b63a538d2c1e5e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07281",
    "kind": "arxiv",
    "version": 3
  }
}