Pith Number

pith:7QXZ2GU2

pith:2015:7QXZ2GU2CDWR2CD7ZSEDI6UYEA

not attested not anchored not stored refs pending

Non-Archimedean Duality: Algebras, Groups, and Multipliers

Anatoly N. Kochubei

arxiv:1510.06876 v2 · 2015-10-23 · math.RA · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QXZ2GU2CDWR2CD7ZSEDI6UYEA}

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	2026-05-18T01:18:42.196639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2f9d1a9a10ed1d087fcc88347a9820324fc7ad9d7b3821ae7345d697688ab9

Aliases

arxiv: 1510.06876 · arxiv_version: 1510.06876v2 · doi: 10.48550/arxiv.1510.06876 · pith_short_12: 7QXZ2GU2CDWR · pith_short_16: 7QXZ2GU2CDWR2CD7 · pith_short_8: 7QXZ2GU2

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/7QXZ2GU2CDWR2CD7ZSEDI6UYEA \
  | 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: fc2f9d1a9a10ed1d087fcc88347a9820324fc7ad9d7b3821ae7345d697688ab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe0b6444c81196e8c028001328ac1c0a0248bbfd0dcd42d5d312ee1fc3cc1d3",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-23T10:01:04Z",
    "title_canon_sha256": "2ad9a05e1f42c1f14de767b42fb746c7d74d373fb4d2ddbbfc4ae57a91a3388e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06876",
    "kind": "arxiv",
    "version": 2
  }
}