Pith Number

pith:2JPFG4NA

pith:2016:2JPFG4NA7ZRLUYATMPBFY73OBL

not attested not anchored not stored refs pending

No hair theorem in quasi-dilaton massive gravity

De-Jun Wu, Shuang-Yong Zhou

arxiv:1601.04399 v2 · 2016-01-18 · hep-th · 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{2JPFG4NA7ZRLUYATMPBFY73OBL}

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	2026-05-18T01:16:09.293262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25e5371a0fe62ba601363c25c7f6e0aeeb8a1302d70303549f91e72fb62d5eb

Aliases

arxiv: 1601.04399 · arxiv_version: 1601.04399v2 · doi: 10.48550/arxiv.1601.04399 · pith_short_12: 2JPFG4NA7ZRL · pith_short_16: 2JPFG4NA7ZRLUYAT · pith_short_8: 2JPFG4NA

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/2JPFG4NA7ZRLUYATMPBFY73OBL \
  | 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: d25e5371a0fe62ba601363c25c7f6e0aeeb8a1302d70303549f91e72fb62d5eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "905ab18ea809325feb78dce2f7aeae72b5a2c406bc01b21a3b837e00e6dab2ad",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-01-18T04:48:16Z",
    "title_canon_sha256": "3f466fca2b73df683fd6d47f5862dcb3e74186df8724f578bf959d981f086a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04399",
    "kind": "arxiv",
    "version": 2
  }
}