Pith Number

pith:GN7H6BDB

pith:2016:GN7H6BDBIUF3EWJCQ2QZJUZMSI

not attested not anchored not stored refs pending

Properties of J-fusion frames in Krein space

Kallol paul, Shibashis Karmakar, Sk. Monowar Hossein

arxiv:1612.00431 v1 · 2016-12-01 · 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{GN7H6BDBIUF3EWJCQ2QZJUZMSI}

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	2026-05-17T23:58:05.646190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337e7f0461450bb2592286a194d32c923535271c7aeccc142206e0556fe065b3

Aliases

arxiv: 1612.00431 · arxiv_version: 1612.00431v1 · doi: 10.48550/arxiv.1612.00431 · pith_short_12: GN7H6BDBIUF3 · pith_short_16: GN7H6BDBIUF3EWJC · pith_short_8: GN7H6BDB

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/GN7H6BDBIUF3EWJCQ2QZJUZMSI \
  | 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: 337e7f0461450bb2592286a194d32c923535271c7aeccc142206e0556fe065b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d8d7a9b8f933814d985ea2510390dedd9b29fe20a237768348750aec3b796d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-01T20:49:35Z",
    "title_canon_sha256": "20233fa5e8ff5738398760dc6d4365992f10d249d49da24b5cfd3f252a50e06f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00431",
    "kind": "arxiv",
    "version": 1
  }
}