Pith Number

pith:HD2B7KS7

pith:2024:HD2B7KS7QHI36QG6F35QSLSOA3

not attested not anchored not stored refs pending

Injective norm of random tensors with independent entries

March T. Boedihardjo

arxiv:2412.21193 v2 · 2024-12-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HD2B7KS7QHI36QG6F35QSLSOA3}

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.

Cited by

1 paper in Pith

Balanced multi-species spin glasses

Receipt and verification

First computed	2026-07-05T09:56:05.215619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f41faa5f81d1bf40de2efb092e4e06d1deba86609bafdd92c637c46135730f

Aliases

arxiv: 2412.21193 · arxiv_version: 2412.21193v2 · doi: 10.48550/arxiv.2412.21193 · pith_short_12: HD2B7KS7QHI3 · pith_short_16: HD2B7KS7QHI36QG6 · pith_short_8: HD2B7KS7

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/HD2B7KS7QHI36QG6F35QSLSOA3 \
  | 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: 38f41faa5f81d1bf40de2efb092e4e06d1deba86609bafdd92c637c46135730f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7819c1eea8b216044eb03038b1b2709a3ad8350b6e24fec8cf6388b276c46275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-30T18:57:35Z",
    "title_canon_sha256": "789536447bb80889b96c9f47d7f72157cb97b233b6291c89993e70f6cb1b77a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21193",
    "kind": "arxiv",
    "version": 2
  }
}