Pith Number

pith:E7YYDXI6

pith:2015:E7YYDXI62X3S3T4UQBEDEUI6BI

not attested not anchored not stored refs pending

Matter coupling in partially constrained vielbein formulation of massive gravity

A. Emir G\"umr\"uk\c{c}\"uo\u{g}lu, Antonio De Felice, Lavinia Heisenberg, Shinji Mukohyama

arxiv:1509.05978 v1 · 2015-09-20 · hep-th · astro-ph.CO · 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{E7YYDXI62X3S3T4UQBEDEUI6BI}

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	2026-05-18T01:23:03.151245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f181dd1ed5f72dcf94804832511e0a2203e15647909151c6802e24b936570d

Aliases

arxiv: 1509.05978 · arxiv_version: 1509.05978v1 · doi: 10.48550/arxiv.1509.05978 · pith_short_12: E7YYDXI62X3S · pith_short_16: E7YYDXI62X3S3T4U · pith_short_8: E7YYDXI6

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/E7YYDXI62X3S3T4UQBEDEUI6BI \
  | 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: 27f181dd1ed5f72dcf94804832511e0a2203e15647909151c6802e24b936570d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5116e9d0ddc1ce29f895a3f20f5b8e3f7c252725f59770863ad63f76d12bf305",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-20T08:15:54Z",
    "title_canon_sha256": "6d971ccd5bab38bd9099d6578769a336b1a0f2255d752a17d8cd5d1be88f6829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05978",
    "kind": "arxiv",
    "version": 1
  }
}