Pith Number

pith:BRZV4VCF

pith:2016:BRZV4VCFX2GXERIAXSP6KQGKWR

not attested not anchored not stored refs pending

Quaternionic Fock space in an Euclidean unit ball $\mathbb{B}^n$

Khalid Manzoor, Sanjay Kumar

arxiv:1612.00932 v1 · 2016-12-03 · 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{BRZV4VCFX2GXERIAXSP6KQGKWR}

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	2026-05-18T00:55:53.808627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c735e5445be8d724500bc9fe540cab44e3f3ab46ec338f2299011b7c84665b1

Aliases

arxiv: 1612.00932 · arxiv_version: 1612.00932v1 · doi: 10.48550/arxiv.1612.00932 · pith_short_12: BRZV4VCFX2GX · pith_short_16: BRZV4VCFX2GXERIA · pith_short_8: BRZV4VCF

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/BRZV4VCFX2GXERIAXSP6KQGKWR \
  | 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: 0c735e5445be8d724500bc9fe540cab44e3f3ab46ec338f2299011b7c84665b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd303da625cd1f2f2cf2ba210e76cb4d49053bd262de4a800aeb0c4388eef5c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-03T06:27:46Z",
    "title_canon_sha256": "9f571c5c5368362d262430f861663e754495f4be95cd7c5e2139b07b4a2a3664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00932",
    "kind": "arxiv",
    "version": 1
  }
}