Pith Number

pith:VBFNR6VB

pith:2011:VBFNR6VBITTX5JZ6SUBDYL2R6G

not attested not anchored not stored refs pending

Complex 2D Matrix Model and Geometrical Map on Complex-Nc Plane

Atsushi Hosaka, Daisuke Jido, Hideko Nagahiro, Kanabu Nawa, Sho Ozaki

arxiv:1109.0426 v3 · 2011-09-02 · hep-ph · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBFNR6VBITTX5JZ6SUBDYL2R6G}

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	2026-05-18T01:12:19.261566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84ad8faa144e77ea73e95023c2f51f184acfe4cf1e2d44099fbe7b7aca2c664

Aliases

arxiv: 1109.0426 · arxiv_version: 1109.0426v3 · doi: 10.48550/arxiv.1109.0426 · pith_short_12: VBFNR6VBITTX · pith_short_16: VBFNR6VBITTX5JZ6 · pith_short_8: VBFNR6VB

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/VBFNR6VBITTX5JZ6SUBDYL2R6G \
  | 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: a84ad8faa144e77ea73e95023c2f51f184acfe4cf1e2d44099fbe7b7aca2c664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1703e0e674f31721f7e6ff7c6bc439081564a988848288a1b3ca281b48c64f48",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-09-02T12:34:53Z",
    "title_canon_sha256": "fb9e78512228a9e319c5f5cd8d1e434c4795b14e4e7ef328ce8e3bf8de2d1f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0426",
    "kind": "arxiv",
    "version": 3
  }
}