Pith Number

pith:F2PFGK5I

pith:2018:F2PFGK5IKAOBDJDQU5FLCROMBZ

not attested not anchored not stored refs pending

Weyl and Browder S-spectrums in a right quaternionic Hilbert space

B. Muraleetharan, K.Thirulogasanthar

arxiv:1805.10131 v2 · 2018-05-24 · 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{F2PFGK5IKAOBDJDQU5FLCROMBZ}

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	2026-05-18T00:03:36.828791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e9e532ba8501c11a470a74ab145cc0e41e57dee21247ac6472bf9b09ccd8069

Aliases

arxiv: 1805.10131 · arxiv_version: 1805.10131v2 · doi: 10.48550/arxiv.1805.10131 · pith_short_12: F2PFGK5IKAOB · pith_short_16: F2PFGK5IKAOBDJDQ · pith_short_8: F2PFGK5I

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/F2PFGK5IKAOBDJDQU5FLCROMBZ \
  | 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: 2e9e532ba8501c11a470a74ab145cc0e41e57dee21247ac6472bf9b09ccd8069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d0d1b9266a1a95d24f7d156eaf4026214ad44d605bcb43e8bf90bb7843b34a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-05-24T06:00:41Z",
    "title_canon_sha256": "d7d8d8131b8eab39134d5731fe79296e43d48df742abf8f0c598a7c08b59ec7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10131",
    "kind": "arxiv",
    "version": 2
  }
}