Pith Number

pith:7JR7B55S

pith:2001:7JR7B55SYC7OUTDTR7JYYJOW5G

not attested not anchored not stored refs pending

On spherical harmonics for fuzzy spheres in diverse dimensions

Sanjaye Ramgoolam

arxiv:hep-th/0105006 v3 · 2001-05-01 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JR7B55SYC7OUTDTR7JYYJOW5G}

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	2026-05-18T02:36:12.218598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa63f0f7b2c0beea4c738fd38c25d6e98a3d358e24b5cba8de223fd4b48bb2e3

Aliases

arxiv: hep-th/0105006 · arxiv_version: hep-th/0105006v3 · doi: 10.48550/arxiv.hep-th/0105006 · pith_short_12: 7JR7B55SYC7O · pith_short_16: 7JR7B55SYC7OUTDT · pith_short_8: 7JR7B55S

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/7JR7B55SYC7OUTDTR7JYYJOW5G \
  | 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: fa63f0f7b2c0beea4c738fd38c25d6e98a3d358e24b5cba8de223fd4b48bb2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c7c77c1b115df1e6cd7a3f3d94a6ae8091a5a216f71eb57387b1cccdaf0538",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-05-01T20:34:39Z",
    "title_canon_sha256": "1621cd7bc03f61e04b536b84170eeff041c09c3f81f7d0f2820468c1c94157b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0105006",
    "kind": "arxiv",
    "version": 3
  }
}