Pith Number

pith:YDTY7WGX

pith:2010:YDTY7WGX757DKGZUU7HGUSTBOM

not attested not anchored not stored refs pending

Submodular spectral functions of principal submatrices of a hermitian matrix, extensions and applications

S. Friedland, S. Gaubert

arxiv:1007.3478 v4 · 2010-07-20 · math.SP · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDTY7WGX757DKGZUU7HGUSTBOM}

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	2026-05-18T03:53:17.786302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e78fd8d7ff7e351b34a7ce6a4a61733cbbbbd72e27b39bb21907f0d2aa505e

Aliases

arxiv: 1007.3478 · arxiv_version: 1007.3478v4 · doi: 10.48550/arxiv.1007.3478 · pith_short_12: YDTY7WGX757D · pith_short_16: YDTY7WGX757DKGZU · pith_short_8: YDTY7WGX

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/YDTY7WGX757DKGZUU7HGUSTBOM \
  | 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: c0e78fd8d7ff7e351b34a7ce6a4a61733cbbbbd72e27b39bb21907f0d2aa505e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1f4465bb8bc7a0d3a12df4b825337f61a48956df8536f1079c84a4d300a215",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-07-20T18:43:35Z",
    "title_canon_sha256": "f36904b3b532510c4945d8435d40b7fd9b133a5182513b07583cec354cac9565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3478",
    "kind": "arxiv",
    "version": 4
  }
}