Pith Number

pith:MDKL2VO7

pith:2013:MDKL2VO7MODRB7VEFOKRTON35H

not attested not anchored not stored refs pending

Discrete frames on finite dimensional quaternion Hilbert spaces

K. Thirulogasanthar, M. Khokulan, S. Srisatkunarajah

arxiv:1302.2836 v2 · 2013-02-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDKL2VO7MODRB7VEFOKRTON35H}

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	2026-05-18T00:50:13.905618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d4bd55df638710fea42b9519b9bbe9cc5eec529f9638786be37812d29f28d5

Aliases

arxiv: 1302.2836 · arxiv_version: 1302.2836v2 · doi: 10.48550/arxiv.1302.2836 · pith_short_12: MDKL2VO7MODR · pith_short_16: MDKL2VO7MODRB7VE · pith_short_8: MDKL2VO7

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/MDKL2VO7MODRB7VEFOKRTON35H \
  | 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: 60d4bd55df638710fea42b9519b9bbe9cc5eec529f9638786be37812d29f28d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c98f0f104e618b46a7f1c07b305b0fbed012191769d8ea125750204d807e077",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-12T16:07:36Z",
    "title_canon_sha256": "4b900f47aaeae14607e3ceb24dab1c575fbfeaf305b5ca2fd18b73c0b2fb9def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2836",
    "kind": "arxiv",
    "version": 2
  }
}