Pith Number

pith:TTIHGG6D

pith:2019:TTIHGG6DS2CXSWRVE7BWHQ2ACB

not attested not anchored not stored refs pending

Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Joel Spruck, Mohammad Ghomi

arxiv:1908.09814 v7 · 2019-08-26 · math.DG · math-ph · math.AP · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTIHGG6DS2CXSWRVE7BWHQ2ACB}

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

Fundamental tones of clamped plates in nonpositively curved spaces

Receipt and verification

First computed	2026-07-05T03:16:48.728164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd0731bc39685795a3527c363c340106d681f9bae6ed895fae6af357c411a71

Aliases

arxiv: 1908.09814 · arxiv_version: 1908.09814v7 · doi: 10.48550/arxiv.1908.09814 · pith_short_12: TTIHGG6DS2CX · pith_short_16: TTIHGG6DS2CXSWRV · pith_short_8: TTIHGG6D

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/TTIHGG6DS2CXSWRVE7BWHQ2ACB \
  | 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: 9cd0731bc39685795a3527c363c340106d681f9bae6ed895fae6af357c411a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6475e6dace684da93c4cdd26986209e83bbcf2c28d87fb60ea8d3f16865ded10",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-26T17:36:07Z",
    "title_canon_sha256": "119d67d36396c154de0727a3d7cb764290c01c7e6589e6623f8563a57317e56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09814",
    "kind": "arxiv",
    "version": 7
  }
}