Pith Number

pith:A4TWSXNB

pith:2013:A4TWSXNB3SXRVE36SO3AEATW4R

not attested not anchored not stored refs pending

Testing Grumiller's modified gravity at galactic scales

Jesus A. Gomez-Lopez, Jorge L. Cervantes-Cota

arxiv:1312.1321 v2 · 2013-12-04 · astro-ph.GA · 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{A4TWSXNB3SXRVE36SO3AEATW4R}

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	2026-05-18T03:02:58.891129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0727695da1dcaf1a937e93b6020276e4696dd691e37b8d2634f02933d515ce81

Aliases

arxiv: 1312.1321 · arxiv_version: 1312.1321v2 · doi: 10.48550/arxiv.1312.1321 · pith_short_12: A4TWSXNB3SXR · pith_short_16: A4TWSXNB3SXRVE36 · pith_short_8: A4TWSXNB

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/A4TWSXNB3SXRVE36SO3AEATW4R \
  | 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: 0727695da1dcaf1a937e93b6020276e4696dd691e37b8d2634f02933d515ce81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f11475f84b5d21971cc4292b41f54488494f685fc70e9101c626c5ca480d8cc",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2013-12-04T20:42:32Z",
    "title_canon_sha256": "d01e34fb897377bbdd0530f7461fc5846a7104e84526bc25acdb896521c10fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1321",
    "kind": "arxiv",
    "version": 2
  }
}