Pith Number

pith:4N7VSUVV

pith:2016:4N7VSUVV4X3LBVE6NDWSCXFEJK

not attested not anchored not stored refs pending

On Equivalence of Matrices

Daizhan Cheng

arxiv:1605.09523 v4 · 2016-05-31 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N7VSUVV4X3LBVE6NDWSCXFEJK}

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	2026-05-18T00:34:57.932964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37f5952b5e5f6b0d49e68ed215ca44ab5ccbac65df2b443493919946a82ec2e

Aliases

arxiv: 1605.09523 · arxiv_version: 1605.09523v4 · doi: 10.48550/arxiv.1605.09523 · pith_short_12: 4N7VSUVV4X3L · pith_short_16: 4N7VSUVV4X3LBVE6 · pith_short_8: 4N7VSUVV

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/4N7VSUVV4X3LBVE6NDWSCXFEJK \
  | 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: e37f5952b5e5f6b0d49e68ed215ca44ab5ccbac65df2b443493919946a82ec2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bdcd1a619cca0c87eb353aa7b43fd3bb6d29d5f9612b33932162b397da37c44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-31T08:23:33Z",
    "title_canon_sha256": "4c21f37160422b248b2c486bb541c51a6bb2a1e1a1832093afce7d24a763bfef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09523",
    "kind": "arxiv",
    "version": 4
  }
}