pith. sign in
Pith Number

pith:UHFJ2GXA

pith:2010:UHFJ2GXARDOAHOS3KJVXKUDBIU
not attested not anchored not stored refs pending

Liouville-Lifshitz theory in 3+1 dimensions

A. Tsapalis, J. Alexandre, K. Farakos

arxiv:1004.4201 v1 · 2010-04-23 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UHFJ2GXARDOAHOS3KJVXKUDBIU}

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 2026-05-18T03:23:48.777474Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a1ca9d1ae088dc03ba5b526b755061452b3d45d120645934e24cf2e0e200a964

Aliases

arxiv: 1004.4201 · arxiv_version: 1004.4201v1 · doi: 10.48550/arxiv.1004.4201 · pith_short_12: UHFJ2GXARDOA · pith_short_16: UHFJ2GXARDOAHOS3 · pith_short_8: UHFJ2GXA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UHFJ2GXARDOAHOS3KJVXKUDBIU \
  | 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: a1ca9d1ae088dc03ba5b526b755061452b3d45d120645934e24cf2e0e200a964
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3dba1cda4e26c8c19a0e709869400aa3ffcc6973a21ac539d2abb79f381e9fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-23T18:50:23Z",
    "title_canon_sha256": "7c47a94ca6f8a23f854c2e87e7c2341ce72034fb2cda7644938cc07ea89b1ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4201",
    "kind": "arxiv",
    "version": 1
  }
}