Pith Number

pith:2J4KMZHP

pith:2026:2J4KMZHP2DYZ43ZLR2WUL27PDB

not attested not anchored not stored refs pending

Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants

Ankit Singh, Hemant Sharma, Snigdhashree Nayak

arxiv:2607.08113 v1 · 2026-07-09 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2J4KMZHP2DYZ43ZLR2WUL27PDB}

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	2026-07-10T01:19:27.045627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d278a664efd0f19e6f2b8ead45ebef187e2e2e11b682f212e1a527551e34537c

Aliases

arxiv: 2607.08113 · arxiv_version: 2607.08113v1 · doi: 10.48550/arxiv.2607.08113 · pith_short_12: 2J4KMZHP2DYZ · pith_short_16: 2J4KMZHP2DYZ43ZL · pith_short_8: 2J4KMZHP

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/2J4KMZHP2DYZ43ZLR2WUL27PDB \
  | 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: d278a664efd0f19e6f2b8ead45ebef187e2e2e11b682f212e1a527551e34537c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a67bc7e6e0fd626f1b1b43932898b8129769bb10ede76080e52754e3311a322",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-09T05:02:44Z",
    "title_canon_sha256": "a5d0212626df31953ed417d2217d90c4a236ec63c7ea842a1d126f92e3fc73bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08113",
    "kind": "arxiv",
    "version": 1
  }
}