Pith Number

pith:MQIZDUOO

pith:2009:MQIZDUOO4PJDZABB5YVWH6334N

not attested not anchored not stored refs pending

Spherical Pairs Over Close Local Fields

Avraham Aizenbud, Dmitry Gourevitch, Nir Avni

arxiv:0910.3199 v3 · 2009-10-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQIZDUOO4PJDZABB5YVWH6334N}

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	2026-05-18T03:41:01.666895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641191d1cee3d23c8021ee2b63fb7be3504c21347f25fe3a8a02862b5be00073

Aliases

arxiv: 0910.3199 · arxiv_version: 0910.3199v3 · doi: 10.48550/arxiv.0910.3199 · pith_short_12: MQIZDUOO4PJD · pith_short_16: MQIZDUOO4PJDZABB · pith_short_8: MQIZDUOO

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/MQIZDUOO4PJDZABB5YVWH6334N \
  | 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: 641191d1cee3d23c8021ee2b63fb7be3504c21347f25fe3a8a02862b5be00073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb96cf32281b25a3a411d2a9c17529a37d2deb3f73cadc3d9440d9d15bf1ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-10-16T19:39:35Z",
    "title_canon_sha256": "16a8c7ab7f021836741fb676e0d43dca4b257cf5d26b5318ea99bc6bc8bbf036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3199",
    "kind": "arxiv",
    "version": 3
  }
}