Pith Number

pith:HHAKFSJL

pith:2011:HHAKFSJLMFP6C2VEUVMAA7F3KZ

not attested not anchored not stored refs pending

Spherically Symmetric Solutions in Massive Gravity and Constraints from Galaxies

Edvard Mortsell, Stefan Sjors

arxiv:1111.5961 v1 · 2011-11-25 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHAKFSJLMFP6C2VEUVMAA7F3KZ}

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	2026-05-18T04:07:41.370645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c0a2c92b615fe16aa4a558007cbb56438e86241c08e7adbefc9c7740f12591

Aliases

arxiv: 1111.5961 · arxiv_version: 1111.5961v1 · doi: 10.48550/arxiv.1111.5961 · pith_short_12: HHAKFSJLMFP6 · pith_short_16: HHAKFSJLMFP6C2VE · pith_short_8: HHAKFSJL

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/HHAKFSJLMFP6C2VEUVMAA7F3KZ \
  | 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: 39c0a2c92b615fe16aa4a558007cbb56438e86241c08e7adbefc9c7740f12591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28608152a9cd11d3baf7e0f66d09de7d784877b8d70a368928cd117b570f9d5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-25T12:20:59Z",
    "title_canon_sha256": "37c30296ba4eafd34c0cfc8a54a2ce933d65e063314a58dbf3321a918c4a8ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5961",
    "kind": "arxiv",
    "version": 1
  }
}