Pith Number

pith:3KVH4SZ7

pith:2015:3KVH4SZ7WEPUSWGVYLENWZ6GJQ

not attested not anchored not stored refs pending

Modified gravity and dark matter

Jose A. R. Cembranos

arxiv:1512.08752 v1 · 2015-12-29 · hep-ph · astro-ph.CO · 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{3KVH4SZ7WEPUSWGVYLENWZ6GJQ}

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	2026-05-18T01:12:05.482034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daaa7e4b3fb11f4958d5c2c8db67c64c04dd210d0ece04c36df2c1ba3073e7d8

Aliases

arxiv: 1512.08752 · arxiv_version: 1512.08752v1 · doi: 10.48550/arxiv.1512.08752 · pith_short_12: 3KVH4SZ7WEPU · pith_short_16: 3KVH4SZ7WEPUSWGV · pith_short_8: 3KVH4SZ7

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/3KVH4SZ7WEPUSWGVYLENWZ6GJQ \
  | 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: daaa7e4b3fb11f4958d5c2c8db67c64c04dd210d0ece04c36df2c1ba3073e7d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f5e77a770e95d9bbe08f4dc3dc31a218b7e736405b98eaa06c3a85e913ea5ab",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-12-29T18:51:17Z",
    "title_canon_sha256": "af59488a74b64d9c50b7f54b8e316a960c693d2720603a75330d9abf73da06db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08752",
    "kind": "arxiv",
    "version": 1
  }
}