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Pith Number

pith:ZAXJEQXS

pith:2013:ZAXJEQXSCRYJ5VWQPAGTQGX5FV
not attested not anchored not stored refs pending

Warp products and (2+1) dimensional spacetimes

Soon-Tae Hong, Yeji Kim

arxiv:1309.2177 v2 · 2013-09-09 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZAXJEQXSCRYJ5VWQPAGTQGX5FV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T02:45:39.603039Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c82e9242f214709ed6d0780d381afd2d799d52ee179c6f9042d3c768abdea056

Aliases

arxiv: 1309.2177 · arxiv_version: 1309.2177v2 · doi: 10.48550/arxiv.1309.2177 · pith_short_12: ZAXJEQXSCRYJ · pith_short_16: ZAXJEQXSCRYJ5VWQ · pith_short_8: ZAXJEQXS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZAXJEQXSCRYJ5VWQPAGTQGX5FV \
  | 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: c82e9242f214709ed6d0780d381afd2d799d52ee179c6f9042d3c768abdea056
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "374122ede6f7b4ef120ecd476a6e99f2eaa10cc75147df46c42c5993581a5e90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-09T14:49:57Z",
    "title_canon_sha256": "7c902882253cc6a613fdd1c3d162d33f20d1157186558556f4c2188587e2e0c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2177",
    "kind": "arxiv",
    "version": 2
  }
}