Pith Number

pith:QGQKR7GQ

pith:2006:QGQKR7GQKCBIUTBH6M5MSQ5XD3

not attested not anchored not stored refs pending

On quaternionic functional analysis

Chi-Keung Ng

arxiv:math/0609160 v1 · 2006-09-06 · math.OA · 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{QGQKR7GQKCBIUTBH6M5MSQ5XD3}

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	2026-05-17T23:47:21.394651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a0a8fcd050828a4c27f33ac943b71ed2c872d33a73ffbd751e718884de1ba3

Aliases

arxiv: math/0609160 · arxiv_version: math/0609160v1 · doi: 10.48550/arxiv.math/0609160 · pith_short_12: QGQKR7GQKCBI · pith_short_16: QGQKR7GQKCBIUTBH · pith_short_8: QGQKR7GQ

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/QGQKR7GQKCBIUTBH6M5MSQ5XD3 \
  | 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: 81a0a8fcd050828a4c27f33ac943b71ed2c872d33a73ffbd751e718884de1ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2958747114d043de289525ba258b2efc80005506d8326cfe1baa1f19d25b8e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-09-06T02:40:23Z",
    "title_canon_sha256": "90648d78c123d0dba2afd52801d2e78c319b8bbc6643adde70d5442a0c781a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609160",
    "kind": "arxiv",
    "version": 1
  }
}