Pith Number

pith:4SHKNQIE

pith:2021:4SHKNQIEQAAXVLDROFVDD5OXVC

not attested not anchored not stored refs pending

Modified gravity: a unified approach

Christian G. Boehmer, Erik Jensko

arxiv:2103.15906 v3 · 2021-03-29 · 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{4SHKNQIEQAAXVLDROFVDD5OXVC}

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.

Cited by

1 paper in Pith

Natural modification of quantum uncertainty, modified gravity, and cosmology

Receipt and verification

First computed	2026-07-05T02:57:44.693826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48ea6c10480017aac71716a31f5d7a885533df29ab2a0c49cd73f68dc85153a

Aliases

arxiv: 2103.15906 · arxiv_version: 2103.15906v3 · doi: 10.48550/arxiv.2103.15906 · pith_short_12: 4SHKNQIEQAAX · pith_short_16: 4SHKNQIEQAAXVLDR · pith_short_8: 4SHKNQIE

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/4SHKNQIEQAAXVLDROFVDD5OXVC \
  | 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: e48ea6c10480017aac71716a31f5d7a885533df29ab2a0c49cd73f68dc85153a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f4b5d7f0ff961cf2a928333b5f54a9f759a94aa5530f84a42df5aaca39ee28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-29T19:37:06Z",
    "title_canon_sha256": "6e13e0bac16e16bd7a1aa57fdd252dadefad510f5fd8adc2fd9b46d751705dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15906",
    "kind": "arxiv",
    "version": 3
  }
}