Pith Number

pith:CPFAXGXE

pith:2014:CPFAXGXEFLUGL2RGXAOVLVGEFU

not attested not anchored not stored refs pending

Invertible Ideals and Gaussian Semirings

Peyman Nasehpour, Rafieh Razavi, Shaban Ghalandarzadeh

arxiv:1404.1901 v4 · 2014-04-07 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPFAXGXEFLUGL2RGXAOVLVGEFU}

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	2026-05-18T00:32:21.928582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ca0b9ae42ae865ea26b81d55d4c42d3a8214c757258050679c62ffbc90acb9

Aliases

arxiv: 1404.1901 · arxiv_version: 1404.1901v4 · doi: 10.48550/arxiv.1404.1901 · pith_short_12: CPFAXGXEFLUG · pith_short_16: CPFAXGXEFLUGL2RG · pith_short_8: CPFAXGXE

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/CPFAXGXEFLUGL2RGXAOVLVGEFU \
  | 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: 13ca0b9ae42ae865ea26b81d55d4c42d3a8214c757258050679c62ffbc90acb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81c1f96b4113a3c48388fe46b92ed4a5790eb2b840fbd3ac57863ba93cd4ba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-07T19:36:49Z",
    "title_canon_sha256": "896636e36f0aa68626ef3f5506432610a1d48045e72e2856aa36ea5da15c8088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1901",
    "kind": "arxiv",
    "version": 4
  }
}