Pith Number

pith:7AAQPP4R

pith:2011:7AAQPP4ROUTFU3K6JO6XL34L3G

not attested not anchored not stored refs pending

Spherically symmetric static spacetimes in vacuum f(T) gravity

Franco Fiorini, Rafael Ferraro

arxiv:1109.4209 v3 · 2011-09-20 · gr-qc · 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{7AAQPP4ROUTFU3K6JO6XL34L3G}

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	2026-05-18T02:00:28.914206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80107bf9175265a6d5e4bbd75ef8bd98ad230f978a19b45828c5060c8aff12a

Aliases

arxiv: 1109.4209 · arxiv_version: 1109.4209v3 · doi: 10.48550/arxiv.1109.4209 · pith_short_12: 7AAQPP4ROUTF · pith_short_16: 7AAQPP4ROUTFU3K6 · pith_short_8: 7AAQPP4R

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/7AAQPP4ROUTFU3K6JO6XL34L3G \
  | 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: f80107bf9175265a6d5e4bbd75ef8bd98ad230f978a19b45828c5060c8aff12a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1755ba6c60e0baf41f0482e3a52c89accf4d36edd30a49ae7bfc27fe9829b7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-20T05:44:41Z",
    "title_canon_sha256": "3d66ba7b8855ca291f6aabb89bbe3de8d23110ad8849c7a5ec766cbbd1c3562a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4209",
    "kind": "arxiv",
    "version": 3
  }
}