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Pith Number

pith:XSV32ITF

pith:2013:XSV32ITF7E4S4N6INJFD3EHZVJ
not attested not anchored not stored refs pending

Friedmann equations and emergence of cosmic space

DaeHo Lee, Ee Chang-Young

arxiv:1309.3084 v3 · 2013-09-12 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XSV32ITF7E4S4N6INJFD3EHZVJ}

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 2026-05-18T02:52:47.893559Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bcabbd2265f9392e37c86a4a3d90f9aa7ef15b0e1135d4d486c6f214d8abcad7

Aliases

arxiv: 1309.3084 · arxiv_version: 1309.3084v3 · doi: 10.48550/arxiv.1309.3084 · pith_short_12: XSV32ITF7E4S · pith_short_16: XSV32ITF7E4S4N6I · pith_short_8: XSV32ITF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSV32ITF7E4S4N6INJFD3EHZVJ \
  | 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: bcabbd2265f9392e37c86a4a3d90f9aa7ef15b0e1135d4d486c6f214d8abcad7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "25259abd85d6b0dfa03403f178622ce817619e8543395fb9669d68a897c46a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-12T09:58:02Z",
    "title_canon_sha256": "b9f2c23b98ebb0303b3d951fcbe40ad98943ec611583b5d1e862333032f6cd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3084",
    "kind": "arxiv",
    "version": 3
  }
}