Pith Number

pith:WDVUDKSD

pith:2015:WDVUDKSDBLUCZFNYWESB5VA4MJ

not attested not anchored not stored refs pending

Complete Path Algebras and Rational Modules

M.C.Iovanov

arxiv:1512.09341 v1 · 2015-12-31 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDVUDKSDBLUCZFNYWESB5VA4MJ}

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	2026-05-18T01:23:32.606050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0eb41aa430ae82c95b8b1241ed41c626bc0f2d36781fdff11db4b8ccef127da

Aliases

arxiv: 1512.09341 · arxiv_version: 1512.09341v1 · doi: 10.48550/arxiv.1512.09341 · pith_short_12: WDVUDKSDBLUC · pith_short_16: WDVUDKSDBLUCZFNY · pith_short_8: WDVUDKSD

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/WDVUDKSDBLUCZFNYWESB5VA4MJ \
  | 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: b0eb41aa430ae82c95b8b1241ed41c626bc0f2d36781fdff11db4b8ccef127da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2159b73254ade8e95d68ad12fa48af9ede00f3c806631600b7085f2d89b61aa2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-31T19:01:28Z",
    "title_canon_sha256": "9a25a4c77c85ecb290b02d14f35a042ff9ef0887097ebcabfa270e3941a656e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09341",
    "kind": "arxiv",
    "version": 1
  }
}