Pith Number

pith:6PW55W4E

pith:2016:6PW55W4EHWVC5DYKVC3K3GPNJR

not attested not anchored not stored refs pending

J-fusion frame for Krein spaces

Shibashis Karmakar

arxiv:1611.01339 v2 · 2016-11-04 · 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{6PW55W4EHWVC5DYKVC3K3GPNJR}

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	2026-05-18T00:51:57.393571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3eddedb843daa2e8f0aa8b6ad99ed4c68c58c6d097b6a5b6d76bcc7ac2f21e7

Aliases

arxiv: 1611.01339 · arxiv_version: 1611.01339v2 · doi: 10.48550/arxiv.1611.01339 · pith_short_12: 6PW55W4EHWVC · pith_short_16: 6PW55W4EHWVC5DYK · pith_short_8: 6PW55W4E

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/6PW55W4EHWVC5DYKVC3K3GPNJR \
  | 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: f3eddedb843daa2e8f0aa8b6ad99ed4c68c58c6d097b6a5b6d76bcc7ac2f21e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb3b939e2b81765549cb8e1aa1963d5bf17ea9e8c119bcb9067be41b2dac8d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-04T11:47:56Z",
    "title_canon_sha256": "3c62f158471cab5d70ae28726cdeffb7ab3b2e19ce557a25e4b0c04da180d8e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01339",
    "kind": "arxiv",
    "version": 2
  }
}