Pith Number

pith:VBYGU7ZU

pith:2014:VBYGU7ZUIPA2NO2L7L6CLDWKU3

not attested not anchored not stored refs pending

Gauge-Invariant Average of Einstein Equations for finite Volumes

Juri Smirnov

arxiv:1410.6480 v1 · 2014-10-23 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBYGU7ZUIPA2NO2L7L6CLDWKU3}

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	2026-05-18T02:39:25.177341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8706a7f3443c1a6bb4bfafc258ecaa6e55ac0e1aad276f38e50529047c8677f

Aliases

arxiv: 1410.6480 · arxiv_version: 1410.6480v1 · doi: 10.48550/arxiv.1410.6480 · pith_short_12: VBYGU7ZUIPA2 · pith_short_16: VBYGU7ZUIPA2NO2L · pith_short_8: VBYGU7ZU

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/VBYGU7ZUIPA2NO2L7L6CLDWKU3 \
  | 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: a8706a7f3443c1a6bb4bfafc258ecaa6e55ac0e1aad276f38e50529047c8677f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c031ab84bbd0a0a6f231a3ce81ceba70328ea74aa93e0b781e563a03979b326",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-10-23T20:00:04Z",
    "title_canon_sha256": "09051b1fc49a7de87686f01661d8b2327ccb73b7e556f1d7c4d97a4178adadba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6480",
    "kind": "arxiv",
    "version": 1
  }
}