Pith Number

pith:TVU5Y5FA

pith:2015:TVU5Y5FA2A3DD6FCDOF4VRIRJF

not attested not anchored not stored refs pending

Yet Another Proof of Sylvester's Determinant Identity

Jan Vrbik, Paul Vrbik

arxiv:1512.08747 v1 · 2015-12-28 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVU5Y5FA2A3DD6FCDOF4VRIRJF}

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	2026-05-18T01:23:34.979191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d69dc74a0d03631f8a21b8bcac51149412c2ab8a9f265edcf51fcd295c37142

Aliases

arxiv: 1512.08747 · arxiv_version: 1512.08747v1 · doi: 10.48550/arxiv.1512.08747 · pith_short_12: TVU5Y5FA2A3D · pith_short_16: TVU5Y5FA2A3DD6FC · pith_short_8: TVU5Y5FA

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/TVU5Y5FA2A3DD6FCDOF4VRIRJF \
  | 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: 9d69dc74a0d03631f8a21b8bcac51149412c2ab8a9f265edcf51fcd295c37142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684264ef03172911c80f6cd9fdc7ce9571acd301c4cdfe0fd9947344d502de8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-12-28T01:03:04Z",
    "title_canon_sha256": "ad31313bb03aab92c0b4b3a1abddcbd44a86143656d584906b994e0f36c6db99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08747",
    "kind": "arxiv",
    "version": 1
  }
}