Pith Number

pith:B3NEWAXO

pith:2016:B3NEWAXO62QJWUY7SXOZTZAXMH

not attested not anchored not stored refs pending

Mixed Determinants and the Kadison-Singer problem

Jonathan Leake, Mohan Ravichandran

arxiv:1609.04195 v2 · 2016-09-14 · 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{B3NEWAXO62QJWUY7SXOZTZAXMH}

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	2026-05-18T00:01:44.031200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eda4b02eef6a09b531f95dd99e41761ee3b3e607ce4a3a4aa6c65cc86183a57

Aliases

arxiv: 1609.04195 · arxiv_version: 1609.04195v2 · doi: 10.48550/arxiv.1609.04195 · pith_short_12: B3NEWAXO62QJ · pith_short_16: B3NEWAXO62QJWUY7 · pith_short_8: B3NEWAXO

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/B3NEWAXO62QJWUY7SXOZTZAXMH \
  | 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: 0eda4b02eef6a09b531f95dd99e41761ee3b3e607ce4a3a4aa6c65cc86183a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb0df26ac62f386b2414d62aabb9778efc4e8c8aadc2f642ecfabc1d7dadc62",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-14T09:50:20Z",
    "title_canon_sha256": "6060953bda6aa05fc93261a80272879daa0801f14591a5872bbac0ca7d4bdde8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04195",
    "kind": "arxiv",
    "version": 2
  }
}