pith. sign in
Pith Number

pith:4DWHY3T2

pith:2015:4DWHY3T2Q5K3H3V7QBRBUI27ZI
not attested not anchored not stored refs pending

Linearized gravity with matter time

Jonathan Ziprick, Masooma Ali, Shohreh Rahmati, Viqar Husain

arxiv:1512.07854 v2 · 2015-12-24 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4DWHY3T2Q5K3H3V7QBRBUI27ZI}

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 2026-05-18T01:16:15.026028Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e0ec7c6e7a8755b3eebf80621a235fca11d2387e8c80a6c9af1bfb6f5bf45e86

Aliases

arxiv: 1512.07854 · arxiv_version: 1512.07854v2 · doi: 10.48550/arxiv.1512.07854 · pith_short_12: 4DWHY3T2Q5K3 · pith_short_16: 4DWHY3T2Q5K3H3V7 · pith_short_8: 4DWHY3T2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4DWHY3T2Q5K3H3V7QBRBUI27ZI \
  | 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: e0ec7c6e7a8755b3eebf80621a235fca11d2387e8c80a6c9af1bfb6f5bf45e86
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "730487c4560b1aab7e3c740b61107ba1badc3fdb36aa1a06d1146f066180b6b8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-24T16:34:41Z",
    "title_canon_sha256": "52e0917198922e160e82a8d9b0ce65eac1ada591cf573337d4cc6f737b5858b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07854",
    "kind": "arxiv",
    "version": 2
  }
}