Pith Number

pith:X3LI22I3

pith:2017:X3LI22I34D4MDWAHUFO6NRPV2D

not attested not anchored not stored refs pending

Scalar, Vector and Tensor Harmonics on the Three-Sphere

Fan Zhang, Lee Lindblom, Nicholas W. Taylor

arxiv:1709.08020 v1 · 2017-09-23 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3LI22I34D4MDWAHUFO6NRPV2D}

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	2026-05-18T00:31:39.724789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed68d691be0f8c1d807a15de6c5f5d0d04a3df9ea583c59964b20bd3b6d29a9

Aliases

arxiv: 1709.08020 · arxiv_version: 1709.08020v1 · doi: 10.48550/arxiv.1709.08020 · pith_short_12: X3LI22I34D4M · pith_short_16: X3LI22I34D4MDWAH · pith_short_8: X3LI22I3

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/X3LI22I34D4MDWAHUFO6NRPV2D \
  | 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: bed68d691be0f8c1d807a15de6c5f5d0d04a3df9ea583c59964b20bd3b6d29a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd7e8431444d685b5669df8bc1ed28f9a199b2e922542cb787b749dfd3e7726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-09-23T08:18:40Z",
    "title_canon_sha256": "1ee1bc633da26f2156a7563204788f966d072004ca3a6b12480c0350d43cd1f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08020",
    "kind": "arxiv",
    "version": 1
  }
}