Pith Number

pith:UQZKHJH7

pith:1998:UQZKHJH7S7NM2WQYP6AFICO4TX

not attested not anchored not stored refs pending

Noncommutative smooth spaces

Alexander Rosenberg, Maxim Kontsevich

arxiv:math/9812158 v1 · 1998-12-30 · math.AG · 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{UQZKHJH7S7NM2WQYP6AFICO4TX}

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.

Cited by

1 paper in Pith

Coupled double Poisson brackets

Receipt and verification

First computed	2026-05-18T01:05:33.451083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a432a3a4ff97dacd5a187f805409dc9dcd7cf88a50d9813bc6070c4ffe6c17f4

Aliases

arxiv: math/9812158 · arxiv_version: math/9812158v1 · doi: 10.48550/arxiv.math/9812158 · pith_short_12: UQZKHJH7S7NM · pith_short_16: UQZKHJH7S7NM2WQY · pith_short_8: UQZKHJH7

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/UQZKHJH7S7NM2WQYP6AFICO4TX \
  | 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: a432a3a4ff97dacd5a187f805409dc9dcd7cf88a50d9813bc6070c4ffe6c17f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123855bb5905addb6a45183b5e8ac9625f2753c78941bd420bef5dcbe98977d7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-12-30T11:36:48Z",
    "title_canon_sha256": "0ff308026e2d4cb71bddc881041bdc15e081222000669eb01cdb3aa2c4540ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812158",
    "kind": "arxiv",
    "version": 1
  }
}