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Pith Number

pith:DSMA4TQE

pith:2016:DSMA4TQEMSJKOMHOY7JHLJNF7F
not attested not anchored not stored refs pending

Projective structure, $\widetilde{\mathrm{SL}}(3,{\mathbb R})$ and the symplectic Dirac operator

Libor K\v{r}i\v{z}ka, Marie Hol\'ikov\'a, Petr Somberg

arxiv:1604.04376 v1 · 2016-04-15 · math.DG · math-ph · math.AP · math.MP · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DSMA4TQEMSJKOMHOY7JHLJNF7F}

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 2026-05-18T01:17:04.316657Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c980e4e046492a730eec7d275a5a5f94862d5c151285d9012de01eaa2ccc85f

Aliases

arxiv: 1604.04376 · arxiv_version: 1604.04376v1 · doi: 10.48550/arxiv.1604.04376 · pith_short_12: DSMA4TQEMSJK · pith_short_16: DSMA4TQEMSJKOMHO · pith_short_8: DSMA4TQE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DSMA4TQEMSJKOMHOY7JHLJNF7F \
  | 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: 1c980e4e046492a730eec7d275a5a5f94862d5c151285d9012de01eaa2ccc85f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "65f63c3a9a7e123e2c142b53cc0563b8c224ab9090130478d3d283ca296470d8",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-15T07:14:42Z",
    "title_canon_sha256": "7ea50ba731930730d33d514c907a87f41c7db1776f0abadde21276fb98f7bcb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04376",
    "kind": "arxiv",
    "version": 1
  }
}