Pith Number

pith:AIX3QU7J

pith:2010:AIX3QU7J3PN4RAEFZSMKJWKZL3

not attested not anchored not stored refs pending

Duals of simple two-sided vector spaces

A. Nyman, J. Hart

arxiv:1008.2238 v2 · 2010-08-13 · 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{AIX3QU7J3PN4RAEFZSMKJWKZL3}

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	2026-05-18T04:25:13.146003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022fb853e9dbdbc88085cc98a4d9595efcea592b9fb0cd84c97609c41a3a9f4e

Aliases

arxiv: 1008.2238 · arxiv_version: 1008.2238v2 · doi: 10.48550/arxiv.1008.2238 · pith_short_12: AIX3QU7J3PN4 · pith_short_16: AIX3QU7J3PN4RAEF · pith_short_8: AIX3QU7J

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/AIX3QU7J3PN4RAEFZSMKJWKZL3 \
  | 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: 022fb853e9dbdbc88085cc98a4d9595efcea592b9fb0cd84c97609c41a3a9f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f4431317a98d4dc38d470749fbaf0ff43db69ea90e27427eef897253dc19e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-13T00:37:34Z",
    "title_canon_sha256": "4184d388167c97bf4edac287cb41653d8af1ad51a8a5b138c01ef563197b26bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2238",
    "kind": "arxiv",
    "version": 2
  }
}