Pith Number

pith:6ZCBSHQX

pith:2019:6ZCBSHQXUQR37SEFTQYIQH37WS

not attested not anchored not stored refs pending

Beyond scalar, vector and tensor harmonics in maximally symmetric three-dimensional spaces

Cyril Pitrou, Thiago S. Pereira

arxiv:1909.13687 v1 · 2019-09-30 · 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{6ZCBSHQXUQR37SEFTQYIQH37WS}

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.

Cited by

1 paper in Pith

The Status of Gravitational Vector Perturbations with Recent CMB Data

Receipt and verification

First computed	2026-07-05T00:28:13.329798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f644191e17a423bfc8859c30881f7fb4a27554f3b725b12e81391445092607e9

Aliases

arxiv: 1909.13687 · arxiv_version: 1909.13687v1 · doi: 10.48550/arxiv.1909.13687 · pith_short_12: 6ZCBSHQXUQR3 · pith_short_16: 6ZCBSHQXUQR37SEF · pith_short_8: 6ZCBSHQX

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/6ZCBSHQXUQR37SEFTQYIQH37WS \
  | 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: f644191e17a423bfc8859c30881f7fb4a27554f3b725b12e81391445092607e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d1fcbd043cfa653a1e8a243230e09b55315dc4bee1d4bc12661e88e0576a6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-30T13:33:35Z",
    "title_canon_sha256": "54845f1fe4829627628b63e3cf41b873d141d4f9c89656e6862e598fc500744e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.13687",
    "kind": "arxiv",
    "version": 1
  }
}