Pith Number

pith:ZXHBKJT4

pith:2009:ZXHBKJT4XB5MQEMRPQCMLRNO64

not attested not anchored not stored refs pending

Quantum complex scalar fields and noncommutativity

Everton M. C. Abreu, Ricardo Amorim

arxiv:0909.0465 v2 · 2009-09-02 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXHBKJT4XB5MQEMRPQCMLRNO64}

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	2026-05-18T02:12:00.718397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdce15267cb87ac811917c04c5c5aef734eb75f716fee0f09ff279ac2aae9716

Aliases

arxiv: 0909.0465 · arxiv_version: 0909.0465v2 · doi: 10.48550/arxiv.0909.0465 · pith_short_12: ZXHBKJT4XB5M · pith_short_16: ZXHBKJT4XB5MQEMR · pith_short_8: ZXHBKJT4

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/ZXHBKJT4XB5MQEMRPQCMLRNO64 \
  | 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: cdce15267cb87ac811917c04c5c5aef734eb75f716fee0f09ff279ac2aae9716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f52b67d73d46cbd9a2d6cab3aee63407d9eacb6b7e2c694c4085a7ce63af907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-09-02T16:12:29Z",
    "title_canon_sha256": "00e46fedd98542e39ccf5bb97467bbdfa432ce6a6c805c19f76135470604d48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0465",
    "kind": "arxiv",
    "version": 2
  }
}