Pith Number

pith:IRDPZJ6B

pith:2009:IRDPZJ6B2BUIBDM4LXOMXUYPXX

not attested not anchored not stored refs pending

On Unitarity of Massive Gravity in Three Dimensions

Ichiro Oda, Masashi Nakasone

arxiv:0902.3531 v5 · 2009-02-20 · 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{IRDPZJ6B2BUIBDM4LXOMXUYPXX}

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	2026-05-18T04:18:15.435217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4446fca7c1d068808d9c5ddccbd30fbde90e4c3849feda4baa2d7368c7a6d218

Aliases

arxiv: 0902.3531 · arxiv_version: 0902.3531v5 · doi: 10.48550/arxiv.0902.3531 · pith_short_12: IRDPZJ6B2BUI · pith_short_16: IRDPZJ6B2BUIBDM4 · pith_short_8: IRDPZJ6B

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/IRDPZJ6B2BUIBDM4LXOMXUYPXX \
  | 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: 4446fca7c1d068808d9c5ddccbd30fbde90e4c3849feda4baa2d7368c7a6d218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc116d85842f536801370d0f02ea6eb9aa5166e8948848933f25f37013a3c98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-20T07:58:01Z",
    "title_canon_sha256": "5dc634d9aeaf281f50a62fe4e800998aaeedd6ae05f0f3286c052261f6cfbcf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3531",
    "kind": "arxiv",
    "version": 5
  }
}