Pith Number

pith:4L4FJWTD

pith:2018:4L4FJWTDBFR3LEYK4Z6TS3UWHE

not attested not anchored not stored refs pending

The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices

Jean-Bernard Zuber, Robert Coquereaux

arxiv:1809.03394 v4 · 2018-09-10 · math.RT · hep-th · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L4FJWTDBFR3LEYK4Z6TS3UWHE}

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	2026-05-17T23:45:15.360838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f854da630963b5930ae67d396e96392d227decaa8d5f4f1b55a5f90b3ae4f6

Aliases

arxiv: 1809.03394 · arxiv_version: 1809.03394v4 · doi: 10.48550/arxiv.1809.03394 · pith_short_12: 4L4FJWTDBFR3 · pith_short_16: 4L4FJWTDBFR3LEYK · pith_short_8: 4L4FJWTD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4L4FJWTDBFR3LEYK4Z6TS3UWHE \
  | 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: e2f854da630963b5930ae67d396e96392d227decaa8d5f4f1b55a5f90b3ae4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca4d955b1392f0b05f2cdd5d5e34d4ed5a42a1d14cdfbe91a27d9c4e76238ae",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-09-10T15:26:47Z",
    "title_canon_sha256": "8b83ccf947049e8c8291ba9a0554e6fff7f61ced97109ae7161847bebd9f6475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03394",
    "kind": "arxiv",
    "version": 4
  }
}