Pith Number

pith:7DX2YXXX

pith:2013:7DX2YXXXOYWY5TP3ULSTRMDYMJ

not attested not anchored not stored refs pending

Gravitational Lagrangians, Mach's principle, and the equivalence principle in an expanding universe

Hanno Ess\'en

arxiv:1411.5608 v1 · 2013-12-30 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DX2YXXXOYWY5TP3ULSTRMDYMJ}

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	2026-05-18T02:33:07.279584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8efac5ef7762d8ecdfba2e538b078624500a886723d51dfc99874fc7e7a4002

Aliases

arxiv: 1411.5608 · arxiv_version: 1411.5608v1 · doi: 10.48550/arxiv.1411.5608 · pith_short_12: 7DX2YXXXOYWY · pith_short_16: 7DX2YXXXOYWY5TP3 · pith_short_8: 7DX2YXXX

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/7DX2YXXXOYWY5TP3ULSTRMDYMJ \
  | 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: f8efac5ef7762d8ecdfba2e538b078624500a886723d51dfc99874fc7e7a4002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220dce095ae7c40aae041bf19d4f02c01b510d58a038838a8077e2de115f9573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2013-12-30T13:13:18Z",
    "title_canon_sha256": "56c8bb15ed6e7ec0319403e919ee7e87d812c6fc832d41c14371355c768c28f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5608",
    "kind": "arxiv",
    "version": 1
  }
}