Pith Number

pith:CA4BSRLG

pith:2020:CA4BSRLGV4HQZIFHQK52I2HH67

not attested not anchored not stored refs pending

Simultaneous averaging to zero by unitary mixing operators

Abhinav Chand, Arindam Sutradhar, Leonel Robert

arxiv:2012.02830 v1 · 2020-12-04 · 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{CA4BSRLGV4HQZIFHQK52I2HH67}

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	2026-07-05T01:57:22.945421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1038194566af0f0ca0a782bba468e7f7de2fa01366bf7286d7394bdf41383f16

Aliases

arxiv: 2012.02830 · arxiv_version: 2012.02830v1 · doi: 10.48550/arxiv.2012.02830 · pith_short_12: CA4BSRLGV4HQ · pith_short_16: CA4BSRLGV4HQZIFH · pith_short_8: CA4BSRLG

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/CA4BSRLGV4HQZIFHQK52I2HH67 \
  | 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: 1038194566af0f0ca0a782bba468e7f7de2fa01366bf7286d7394bdf41383f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee7df8c1818bfc47e6be1c1200cb485e7074015bc8fe4a87148f28e0677861d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-12-04T20:10:38Z",
    "title_canon_sha256": "7c200f33b880378c3555d375520b367f512e47269486422df9a2d4d8c8d749be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.02830",
    "kind": "arxiv",
    "version": 1
  }
}