Pith Number

pith:WY2CJ4VI

pith:2015:WY2CJ4VIDXX3TIRBCTHL6LKXF4

not attested not anchored not stored refs pending

Covariantised Vector Galileons

Gianmassimo Tasinato (Swansea), Kazuya Koyama (ICG, Matthew Hull, Portsmouth)

arxiv:1510.07029 v2 · 2015-10-23 · hep-th · gr-qc · hep-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{WY2CJ4VIDXX3TIRBCTHL6LKXF4}

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	2026-05-18T01:18:09.206013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63424f2a81defb9a22114cebf2d572f1af0cf7d4e176ea07263224d54b2f651

Aliases

arxiv: 1510.07029 · arxiv_version: 1510.07029v2 · doi: 10.48550/arxiv.1510.07029 · pith_short_12: WY2CJ4VIDXX3 · pith_short_16: WY2CJ4VIDXX3TIRB · pith_short_8: WY2CJ4VI

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/WY2CJ4VIDXX3TIRBCTHL6LKXF4 \
  | 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: b63424f2a81defb9a22114cebf2d572f1af0cf7d4e176ea07263224d54b2f651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010cef4a5633c2a7b7b2912d89a8162ca4b76430e90cd79464c623e7d2ef8900",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-23T19:52:05Z",
    "title_canon_sha256": "6309070840d1c8e20afb0e17ad0f8b506de8dae04c770a31aa0d34220aaedda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07029",
    "kind": "arxiv",
    "version": 2
  }
}