Pith Number

pith:RQ7ATQD6

pith:2016:RQ7ATQD66F7C4WW2YK6T3HHSCF

not attested not anchored not stored refs pending

Tight J-frames in Krein space and the associated J-frame potential

Kallol paul, Shibashis Karmakar, Sk. Monowar Hossein

arxiv:1609.08659 v1 · 2016-09-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQ7ATQD66F7C4WW2YK6T3HHSCF}

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	2026-05-17T23:58:05.718094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c3e09c07ef17e2e5adac2bd3d9cf2115a12f88e66eff42467e97e5721bf1e7b

Aliases

arxiv: 1609.08659 · arxiv_version: 1609.08659v1 · doi: 10.48550/arxiv.1609.08659 · pith_short_12: RQ7ATQD66F7C · pith_short_16: RQ7ATQD66F7C4WW2 · pith_short_8: RQ7ATQD6

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/RQ7ATQD66F7C4WW2YK6T3HHSCF \
  | 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: 8c3e09c07ef17e2e5adac2bd3d9cf2115a12f88e66eff42467e97e5721bf1e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d9f617e4cdee578960894670ec53ebc6ecd5942c2025421f370009228d8e59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-27T20:45:49Z",
    "title_canon_sha256": "f49b3a3a592171e1d9c4bc4c4d2efebcffbef6e30e58057198c631f9e5d61fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08659",
    "kind": "arxiv",
    "version": 1
  }
}