Pith Number

pith:ZB3F2LQT

pith:2018:ZB3F2LQTSED65DBJD7U3MVPOUM

not attested not anchored not stored refs pending

On generalized J{\o}rgensen inequality in infinite dimension

Krishnendu Gongopadhyay

arxiv:1808.06756 v1 · 2018-08-21 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZB3F2LQTSED65DBJD7U3MVPOUM}

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	2026-05-18T00:07:39.207812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8765d2e139107ee8c291fe9b655eea308137f945cd3101b71d7f5f4ac9e93c2

Aliases

arxiv: 1808.06756 · arxiv_version: 1808.06756v1 · doi: 10.48550/arxiv.1808.06756 · pith_short_12: ZB3F2LQTSED6 · pith_short_16: ZB3F2LQTSED65DBJ · pith_short_8: ZB3F2LQT

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/ZB3F2LQTSED65DBJD7U3MVPOUM \
  | 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: c8765d2e139107ee8c291fe9b655eea308137f945cd3101b71d7f5f4ac9e93c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbe8fe6fc1ed380778c0732c8d8ee0dadd9a1b97f8edddf6aeff113e25a4b20",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-21T04:13:52Z",
    "title_canon_sha256": "466aa520ce5c36e34f31cebd3ea8988c895013f477fffc2a968c47f774c0d0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06756",
    "kind": "arxiv",
    "version": 1
  }
}