Pith Number

pith:EX2JQ3MN

pith:2022:EX2JQ3MNL52AXOWXS62WRO3QJG

not attested not anchored not stored refs pending

Constraining modified gravity theories with scalar fields using black-hole images

Alexandros Papageorgiou, Georgios Antoniou, Panagiota Kanti

arxiv:2210.17533 v1 · 2022-10-31 · 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{EX2JQ3MNL52AXOWXS62WRO3QJG}

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	2026-07-05T09:34:08.397921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f4986d8d5f740bbad797b568bb7049a8d9599f9f8d04e1e54855f310f5216a

Aliases

arxiv: 2210.17533 · arxiv_version: 2210.17533v1 · doi: 10.48550/arxiv.2210.17533 · pith_short_12: EX2JQ3MNL52A · pith_short_16: EX2JQ3MNL52AXOWX · pith_short_8: EX2JQ3MN

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/EX2JQ3MNL52AXOWXS62WRO3QJG \
  | 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: 25f4986d8d5f740bbad797b568bb7049a8d9599f9f8d04e1e54855f310f5216a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89edf5c40f656487c10cb4fbb1def4b7994d399ab6ff1a2a9651a2f24db7f5d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-10-31T17:49:14Z",
    "title_canon_sha256": "cf5fbfca8064c16a89edec0cfb8925b10b8969ca8e2fcc0facc13fffebc907ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.17533",
    "kind": "arxiv",
    "version": 1
  }
}