Pith Number

pith:QWZFJKUU

pith:2013:QWZFJKUU5A4YNIWLWRGX3LJD2X

not attested not anchored not stored refs pending

The M-Principal Graph of a Commutative Ring

F. Heydari, M.J. Nikmehr

arxiv:1305.6192 v2 · 2013-05-27 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWZFJKUU5A4YNIWLWRGX3LJD2X}

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	2026-05-18T03:17:24.252091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b254aa94e83986a2cbb44d7dad23d5f8d8c504bbf5d5733066940ebc3bfb29

Aliases

arxiv: 1305.6192 · arxiv_version: 1305.6192v2 · doi: 10.48550/arxiv.1305.6192 · pith_short_12: QWZFJKUU5A4Y · pith_short_16: QWZFJKUU5A4YNIWL · pith_short_8: QWZFJKUU

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/QWZFJKUU5A4YNIWLWRGX3LJD2X \
  | 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: 85b254aa94e83986a2cbb44d7dad23d5f8d8c504bbf5d5733066940ebc3bfb29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e3e860473234b7dc5ab5d96180bcaf7ae040346c4a1d4a0a761830e96c4e86",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-27T12:25:33Z",
    "title_canon_sha256": "7fb74661f67b96d45aaeffb04aab2404ac55042f343638e81072a0d77adad694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6192",
    "kind": "arxiv",
    "version": 2
  }
}