Pith Number

pith:76POTZBU

pith:2019:76POTZBUNRMFQ3A3FJGH5ZAAOB

not attested not anchored not stored refs pending

Unitarity Flow in 2+1 Dimensional Massive Gravity

M. Salih Z\"o\u{g}, Sinan Sevim

arxiv:1912.04710 v4 · 2019-12-10 · 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{76POTZBUNRMFQ3A3FJGH5ZAAOB}

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	2026-07-05T01:41:16.016356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9ee9e4346c58586c1b2a4c7ee40070735edd5788d73639299c226d55dc4faf

Aliases

arxiv: 1912.04710 · arxiv_version: 1912.04710v4 · doi: 10.48550/arxiv.1912.04710 · pith_short_12: 76POTZBUNRMF · pith_short_16: 76POTZBUNRMFQ3A3 · pith_short_8: 76POTZBU

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/76POTZBUNRMFQ3A3FJGH5ZAAOB \
  | 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: ff9ee9e4346c58586c1b2a4c7ee40070735edd5788d73639299c226d55dc4faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e80eb96b48b8d33e12be4d4a2e4c0ad15037f70122d3a2fec4813de9c6e0180",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-10T14:35:47Z",
    "title_canon_sha256": "4aee5eaffab0b5c43357abe0b5e9a5a65621029297014f60435bc84b7a5dd05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.04710",
    "kind": "arxiv",
    "version": 4
  }
}