Pith Number

pith:RZUE2COQ

pith:2025:RZUE2COQ7SVD2G57IZRLBNTUJI

not attested not anchored not stored refs pending

Trace of Multi-variable Matrix Functions and its Application to Functions of Graph Spectrum

Subhrajit Bhattacharya

arxiv:2501.14515 v2 · 2025-01-24 · math.FA · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZUE2COQ7SVD2G57IZRLBNTUJI}

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	2026-07-05T10:06:10.757915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e684d09d0fcaa3d1bbf4662b0b6744a346a235c97ffcc20dd4298b0326c8b38

Aliases

arxiv: 2501.14515 · arxiv_version: 2501.14515v2 · doi: 10.48550/arxiv.2501.14515 · pith_short_12: RZUE2COQ7SVD · pith_short_16: RZUE2COQ7SVD2G57 · pith_short_8: RZUE2COQ

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/RZUE2COQ7SVD2G57IZRLBNTUJI \
  | 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: 8e684d09d0fcaa3d1bbf4662b0b6744a346a235c97ffcc20dd4298b0326c8b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5085bd0cda1beeabd904f5d09d3ea9200015416f7e1e3e33cd5da86d8164350d",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-01-24T14:21:12Z",
    "title_canon_sha256": "15e0d8954a753b21677fdcbe7ee15da1cae8973c8774f44c1145bd32c1a128c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14515",
    "kind": "arxiv",
    "version": 2
  }
}