Pith Number

pith:CIEIJNXZ

pith:2019:CIEIJNXZ5F7RHAZYTOG6BHG2IE

not attested not anchored not stored refs pending

Scalar, Vector and Tensor Harmonics on the Flat Compact Orientable Three-Manifolds

Fan Zhang, Lee Lindblom, Zhi-Peng Peng

arxiv:1909.06721 v2 · 2019-09-15 · 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{CIEIJNXZ5F7RHAZYTOG6BHG2IE}

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

Supersymmetry-breaking compactifications on Riemann-flat manifolds

Receipt and verification

First computed	2026-07-05T00:25:56.224040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120884b6f9e97f1383389b8de09cda411c7e3c64aa4fecd30fbeee5edfe757bf

Aliases

arxiv: 1909.06721 · arxiv_version: 1909.06721v2 · doi: 10.48550/arxiv.1909.06721 · pith_short_12: CIEIJNXZ5F7R · pith_short_16: CIEIJNXZ5F7RHAZY · pith_short_8: CIEIJNXZ

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/CIEIJNXZ5F7RHAZYTOG6BHG2IE \
  | 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: 120884b6f9e97f1383389b8de09cda411c7e3c64aa4fecd30fbeee5edfe757bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380909f69aa7d4b5adf62fc6e35b33e229700c1816bfbf633b053b9e54c0ea97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-15T03:23:05Z",
    "title_canon_sha256": "ace906248d27513ce8c9063416e4006df6283a66d8f37100ff9707934caf329c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06721",
    "kind": "arxiv",
    "version": 2
  }
}