Pith Number

pith:IJJJEJEJ

pith:2015:IJJJEJEJDYXYGX5RGQB6DFQXKH

not attested not anchored not stored refs pending

Explicit vector spherical harmonics on the 3-sphere

E. Huguet, J. Ben Achour, J.Queva, J. Renaud

arxiv:1505.03426 v2 · 2015-05-13 · math-ph · gr-qc · hep-th · 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{IJJJEJEJDYXYGX5RGQB6DFQXKH}

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	2026-05-18T01:22:18.691978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42529224891e2f835fb13403e1961751e3259edbbdbfc2cbeade2a61ed2814d9

Aliases

arxiv: 1505.03426 · arxiv_version: 1505.03426v2 · doi: 10.48550/arxiv.1505.03426 · pith_short_12: IJJJEJEJDYXY · pith_short_16: IJJJEJEJDYXYGX5R · pith_short_8: IJJJEJEJ

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/IJJJEJEJDYXYGX5RGQB6DFQXKH \
  | 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: 42529224891e2f835fb13403e1961751e3259edbbdbfc2cbeade2a61ed2814d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a0fd8e8e9ef9ed2849004463a2af90a98c957f852262f431c503ce12029725",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-13T15:30:36Z",
    "title_canon_sha256": "f4969e1d31090c7917702c91d6a7667e1b7eace2ae0e4818e810b3cf9797404b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03426",
    "kind": "arxiv",
    "version": 2
  }
}