Pith Number

pith:ZVILJJKR

pith:2008:ZVILJJKRYUYJLAWQY3RJIDQF2G

not attested not anchored not stored refs pending

A representation theorem for archimedean quadratic modules on *-rings

Jaka Cimpric

arxiv:0807.5020 v1 · 2008-07-31 · 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{ZVILJJKRYUYJLAWQY3RJIDQF2G}

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	2026-05-18T03:37:19.278326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd50b4a551c5309582d0c6e2940e05d199e6a8609b000c702b7467dff49238e7

Aliases

arxiv: 0807.5020 · arxiv_version: 0807.5020v1 · doi: 10.48550/arxiv.0807.5020 · pith_short_12: ZVILJJKRYUYJ · pith_short_16: ZVILJJKRYUYJLAWQ · pith_short_8: ZVILJJKR

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/ZVILJJKRYUYJLAWQY3RJIDQF2G \
  | 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: cd50b4a551c5309582d0c6e2940e05d199e6a8609b000c702b7467dff49238e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cd520e9328d878b2563cc3b622477ae5d002ce42ab55872b16039bc8354451d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-07-31T09:11:27Z",
    "title_canon_sha256": "ca3d6e0f94636bb940cc2410b62d3c8c83b662d91f8960d478a4e739bd0fc075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.5020",
    "kind": "arxiv",
    "version": 1
  }
}