Pith Number

pith:DRXENW2U

pith:2021:DRXENW2U4K423CGWZYRQMDOD6J

not attested not anchored not stored refs pending

Remarks on manifolds with two sided curvature bounds

Alexander Lytchak, Vitali Kapovitch

arxiv:2101.03050 v1 · 2021-01-08 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRXENW2U4K423CGWZYRQMDOD6J}

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.

Cited by

1 paper in Pith

Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Receipt and verification

First computed	2026-07-05T02:05:33.697833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c6e46db54e2b9ad88d6ce23060dc3f2766108d04ec3ad099dfdb025883b34cb

Aliases

arxiv: 2101.03050 · arxiv_version: 2101.03050v1 · doi: 10.48550/arxiv.2101.03050 · pith_short_12: DRXENW2U4K42 · pith_short_16: DRXENW2U4K423CGW · pith_short_8: DRXENW2U

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/DRXENW2U4K423CGWZYRQMDOD6J \
  | 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: 1c6e46db54e2b9ad88d6ce23060dc3f2766108d04ec3ad099dfdb025883b34cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0e8ccaa9ecca5318c7c3ca165321550dd5c7cc6b38b78d401c5e0618015c93",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-01-08T15:02:34Z",
    "title_canon_sha256": "131a0b2bd134f0222d6d80d256c51c5d9d60fcfbbe740c3a53ae6198908ad572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.03050",
    "kind": "arxiv",
    "version": 1
  }
}