Pith Number

pith:45L4QOO2

pith:2016:45L4QOO2GRL7J2QD6INTM4XQOU

not attested not anchored not stored refs pending

Power sums over commutative and unitary rings

Antonio. M. Oller-Marcen, Jose Maria Grau

arxiv:1603.05787 v1 · 2016-03-18 · 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{45L4QOO2GRL7J2QD6INTM4XQOU}

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	2026-05-18T01:18:53.518163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e757c839da3457f4ea03f21b3672f07520db9eb92727578fea86780bac8b7bd6

Aliases

arxiv: 1603.05787 · arxiv_version: 1603.05787v1 · doi: 10.48550/arxiv.1603.05787 · pith_short_12: 45L4QOO2GRL7 · pith_short_16: 45L4QOO2GRL7J2QD · pith_short_8: 45L4QOO2

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/45L4QOO2GRL7J2QD6INTM4XQOU \
  | 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: e757c839da3457f4ea03f21b3672f07520db9eb92727578fea86780bac8b7bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684a688279f0fd7b039af0478947023f43f4d9ba6774c2b48b5bc3746b96e7d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-03-18T08:10:18Z",
    "title_canon_sha256": "eb3285e923bbd385cdc7d5c8fd5a5dc1592afeed12b3ef0a5eeb89582cf29e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05787",
    "kind": "arxiv",
    "version": 1
  }
}