Pith Number

pith:EYQ5UTGX

pith:2021:EYQ5UTGXUWBU7XQZBSLDNOOLKN

not attested not anchored not stored refs pending

The cosmological background and the "external field" in Modified Gravity (MOG)

J. W. Moffat, V. T. Toth

arxiv:2109.11133 v1 · 2021-09-23 · 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{EYQ5UTGXUWBU7XQZBSLDNOOLKN}

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	2026-07-05T03:16:54.983893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2621da4cd7a5834fde190c9636b9cb5362cc34f03b68c88507baa0c43f25be31

Aliases

arxiv: 2109.11133 · arxiv_version: 2109.11133v1 · doi: 10.48550/arxiv.2109.11133 · pith_short_12: EYQ5UTGXUWBU · pith_short_16: EYQ5UTGXUWBU7XQZ · pith_short_8: EYQ5UTGX

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/EYQ5UTGXUWBU7XQZBSLDNOOLKN \
  | 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: 2621da4cd7a5834fde190c9636b9cb5362cc34f03b68c88507baa0c43f25be31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd1a12adbcf24cf13d7c9fcd7b9987b0e64c1a49aaa14f723ef62e2a0409db9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-23T04:04:34Z",
    "title_canon_sha256": "4ee6918081c344a944f337b999c9dcae6872ffc596b80d33a78ce34f9142dfc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11133",
    "kind": "arxiv",
    "version": 1
  }
}